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Finding the Fourth Proportional to 184,978,208.16, 255,269,920.32 and 101,349,512.01

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Solution

The fourth proportional to 184,978,208.16, 255,269,920.32 and 101,349,512.01 is: 139,862,322.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,978,208.16 : 255,269,920.32 = 101,349,512.01 : x
  2. Step 2: Convert to fraction form
    184,978,208.16/255,269,920.32 = 101,349,512.01/x
  3. Step 3: Cross multiply
    184,978,208.16x = 255,269,920.32 × 101,349,512.01
  4. Step 4: Simplify right side
    184,978,208.16x = 25,871,481,855,263,584
  5. Step 5: Solve for x
    x = 25,871,481,855,263,584/184,978,208.16
  6. Step 6: Final answer
    x = 139,862,322.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.