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Finding the Fourth Proportional to 137,306.20, 205,613.70 and 90,304.60

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Solution

The fourth proportional to 137,306.20, 205,613.70 and 90,304.60 is: 135,229.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,306.20 : 205,613.70 = 90,304.60 : x
  2. Step 2: Convert to fraction form
    137,306.20/205,613.70 = 90,304.60/x
  3. Step 3: Cross multiply
    137,306.20x = 205,613.70 × 90,304.60
  4. Step 4: Simplify right side
    137,306.20x = 18,567,862,933.02
  5. Step 5: Solve for x
    x = 18,567,862,933.02/137,306.20
  6. Step 6: Final answer
    x = 135,229.60

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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.