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Finding the Fourth Proportional to 184,901.94, 255,163.77 and 100,018.80

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Solution

The fourth proportional to 184,901.94, 255,163.77 and 100,018.80 is: 138,025.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,901.94 : 255,163.77 = 100,018.80 : x
  2. Step 2: Convert to fraction form
    184,901.94/255,163.77 = 100,018.80/x
  3. Step 3: Cross multiply
    184,901.94x = 255,163.77 × 100,018.80
  4. Step 4: Simplify right side
    184,901.94x = 25,521,174,078.88
  5. Step 5: Solve for x
    x = 25,521,174,078.88/184,901.94
  6. Step 6: Final answer
    x = 138,025.45

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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.