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Finding the Fourth Proportional to 351,843.50, 527,565.30 and 138,495.78

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Solution

The fourth proportional to 351,843.50, 527,565.30 and 138,495.78 is: 207,664.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,843.50 : 527,565.30 = 138,495.78 : x
  2. Step 2: Convert to fraction form
    351,843.50/527,565.30 = 138,495.78/x
  3. Step 3: Cross multiply
    351,843.50x = 527,565.30 × 138,495.78
  4. Step 4: Simplify right side
    351,843.50x = 73,065,567,724.43
  5. Step 5: Solve for x
    x = 73,065,567,724.43/351,843.50
  6. Step 6: Final answer
    x = 207,664.96

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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.