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Finding the Fourth Proportional to 107,074.80, 160,505.20 and 71,566

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Solution

The fourth proportional to 107,074.80, 160,505.20 and 71,566 is: 107,277.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,074.80 : 160,505.20 = 71,566 : x
  2. Step 2: Convert to fraction form
    107,074.80/160,505.20 = 71,566/x
  3. Step 3: Cross multiply
    107,074.80x = 160,505.20 × 71,566
  4. Step 4: Simplify right side
    107,074.80x = 11,486,715,143.20
  5. Step 5: Solve for x
    x = 11,486,715,143.20/107,074.80
  6. Step 6: Final answer
    x = 107,277.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.