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Finding the Fourth Proportional to 359,140.52, 538,635.11 and 106,423.22

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Solution

The fourth proportional to 359,140.52, 538,635.11 and 106,423.22 is: 159,612.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,140.52 : 538,635.11 = 106,423.22 : x
  2. Step 2: Convert to fraction form
    359,140.52/538,635.11 = 106,423.22/x
  3. Step 3: Cross multiply
    359,140.52x = 538,635.11 × 106,423.22
  4. Step 4: Simplify right side
    359,140.52x = 57,323,279,585.96
  5. Step 5: Solve for x
    x = 57,323,279,585.96/359,140.52
  6. Step 6: Final answer
    x = 159,612.40

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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.