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Finding the Fourth Proportional to 359,251.96, 538,957.05 and 106,552.21

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Solution

The fourth proportional to 359,251.96, 538,957.05 and 106,552.21 is: 159,851.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,251.96 : 538,957.05 = 106,552.21 : x
  2. Step 2: Convert to fraction form
    359,251.96/538,957.05 = 106,552.21/x
  3. Step 3: Cross multiply
    359,251.96x = 538,957.05 × 106,552.21
  4. Step 4: Simplify right side
    359,251.96x = 57,427,064,772.58
  5. Step 5: Solve for x
    x = 57,427,064,772.58/359,251.96
  6. Step 6: Final answer
    x = 159,851.78

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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.