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Finding the Fourth Proportional to 359,757.80, 539,542.66 and 106,970.21

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Solution

The fourth proportional to 359,757.80, 539,542.66 and 106,970.21 is: 160,427.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,757.80 : 539,542.66 = 106,970.21 : x
  2. Step 2: Convert to fraction form
    359,757.80/539,542.66 = 106,970.21/x
  3. Step 3: Cross multiply
    359,757.80x = 539,542.66 × 106,970.21
  4. Step 4: Simplify right side
    359,757.80x = 57,714,991,644.16
  5. Step 5: Solve for x
    x = 57,714,991,644.16/359,757.80
  6. Step 6: Final answer
    x = 160,427.35

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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.