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Finding the Fourth Proportional to 135,169.47, 202,732.90 and 45,211.50

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Solution

The fourth proportional to 135,169.47, 202,732.90 and 45,211.50 is: 67,810.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,169.47 : 202,732.90 = 45,211.50 : x
  2. Step 2: Convert to fraction form
    135,169.47/202,732.90 = 45,211.50/x
  3. Step 3: Cross multiply
    135,169.47x = 202,732.90 × 45,211.50
  4. Step 4: Simplify right side
    135,169.47x = 9,165,858,508.35
  5. Step 5: Solve for x
    x = 9,165,858,508.35/135,169.47
  6. Step 6: Final answer
    x = 67,810.12

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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.