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Finding the Fourth Proportional to 359,165.69, 538,751.23 and 159,432.38

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Solution

The fourth proportional to 359,165.69, 538,751.23 and 159,432.38 is: 239,149.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,165.69 : 538,751.23 = 159,432.38 : x
  2. Step 2: Convert to fraction form
    359,165.69/538,751.23 = 159,432.38/x
  3. Step 3: Cross multiply
    359,165.69x = 538,751.23 × 159,432.38
  4. Step 4: Simplify right side
    359,165.69x = 85,894,390,826.83
  5. Step 5: Solve for x
    x = 85,894,390,826.83/359,165.69
  6. Step 6: Final answer
    x = 239,149.77

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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.