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Finding the Fourth Proportional to 184,054.32, 276,104.16 and 65,738.16

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Solution

The fourth proportional to 184,054.32, 276,104.16 and 65,738.16 is: 98,615.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,054.32 : 276,104.16 = 65,738.16 : x
  2. Step 2: Convert to fraction form
    184,054.32/276,104.16 = 65,738.16/x
  3. Step 3: Cross multiply
    184,054.32x = 276,104.16 × 65,738.16
  4. Step 4: Simplify right side
    184,054.32x = 18,150,579,446.75
  5. Step 5: Solve for x
    x = 18,150,579,446.75/184,054.32
  6. Step 6: Final answer
    x = 98,615.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.