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Finding the Fourth Proportional to 359,200.54, 538,781.28 and 109,882.54

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Solution

The fourth proportional to 359,200.54, 538,781.28 and 109,882.54 is: 164,817.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,200.54 : 538,781.28 = 109,882.54 : x
  2. Step 2: Convert to fraction form
    359,200.54/538,781.28 = 109,882.54/x
  3. Step 3: Cross multiply
    359,200.54x = 538,781.28 × 109,882.54
  4. Step 4: Simplify right side
    359,200.54x = 59,202,655,550.85
  5. Step 5: Solve for x
    x = 59,202,655,550.85/359,200.54
  6. Step 6: Final answer
    x = 164,817.84

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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.