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Finding the Fourth Proportional to 185,593.86, 256,120.17 and 100,710.90

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Solution

The fourth proportional to 185,593.86, 256,120.17 and 100,710.90 is: 138,981.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,593.86 : 256,120.17 = 100,710.90 : x
  2. Step 2: Convert to fraction form
    185,593.86/256,120.17 = 100,710.90/x
  3. Step 3: Cross multiply
    185,593.86x = 256,120.17 × 100,710.90
  4. Step 4: Simplify right side
    185,593.86x = 25,794,092,828.85
  5. Step 5: Solve for x
    x = 25,794,092,828.85/185,593.86
  6. Step 6: Final answer
    x = 138,981.39

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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.