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Finding the Fourth Proportional to 359,164.13, 538,748.89 and 159,430.82

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Solution

The fourth proportional to 359,164.13, 538,748.89 and 159,430.82 is: 239,147.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,164.13 : 538,748.89 = 159,430.82 : x
  2. Step 2: Convert to fraction form
    359,164.13/538,748.89 = 159,430.82/x
  3. Step 3: Cross multiply
    359,164.13x = 538,748.89 × 159,430.82
  4. Step 4: Simplify right side
    359,164.13x = 85,893,177,306.79
  5. Step 5: Solve for x
    x = 85,893,177,306.79/359,164.13
  6. Step 6: Final answer
    x = 239,147.43

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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.