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Finding the Fourth Proportional to 359,760.25, 539,546.31 and 106,972.66

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Solution

The fourth proportional to 359,760.25, 539,546.31 and 106,972.66 is: 160,431.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,760.25 : 539,546.31 = 106,972.66 : x
  2. Step 2: Convert to fraction form
    359,760.25/539,546.31 = 106,972.66/x
  3. Step 3: Cross multiply
    359,760.25x = 539,546.31 × 106,972.66
  4. Step 4: Simplify right side
    359,760.25x = 57,716,703,973.88
  5. Step 5: Solve for x
    x = 57,716,703,973.88/359,760.25
  6. Step 6: Final answer
    x = 160,431.02

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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.