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Finding the Fourth Proportional to 359,713.64, 539,570.10 and 106,993.08

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Solution

The fourth proportional to 359,713.64, 539,570.10 and 106,993.08 is: 160,489.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,713.64 : 539,570.10 = 106,993.08 : x
  2. Step 2: Convert to fraction form
    359,713.64/539,570.10 = 106,993.08/x
  3. Step 3: Cross multiply
    359,713.64x = 539,570.10 × 106,993.08
  4. Step 4: Simplify right side
    359,713.64x = 57,730,266,874.91
  5. Step 5: Solve for x
    x = 57,730,266,874.91/359,713.64
  6. Step 6: Final answer
    x = 160,489.51

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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.