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Finding the Fourth Proportional to 359,762.25, 539,549.31 and 106,974.66

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Solution

The fourth proportional to 359,762.25, 539,549.31 and 106,974.66 is: 160,434.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,762.25 : 539,549.31 = 106,974.66 : x
  2. Step 2: Convert to fraction form
    359,762.25/539,549.31 = 106,974.66/x
  3. Step 3: Cross multiply
    359,762.25x = 539,549.31 × 106,974.66
  4. Step 4: Simplify right side
    359,762.25x = 57,718,103,990.48
  5. Step 5: Solve for x
    x = 57,718,103,990.48/359,762.25
  6. Step 6: Final answer
    x = 160,434.02

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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.