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Finding the Fourth Proportional to 137,609.50, 206,443.88 and 42,837.68

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Solution

The fourth proportional to 137,609.50, 206,443.88 and 42,837.68 is: 64,265.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,609.50 : 206,443.88 = 42,837.68 : x
  2. Step 2: Convert to fraction form
    137,609.50/206,443.88 = 42,837.68/x
  3. Step 3: Cross multiply
    137,609.50x = 206,443.88 × 42,837.68
  4. Step 4: Simplify right side
    137,609.50x = 8,843,576,869.40
  5. Step 5: Solve for x
    x = 8,843,576,869.40/137,609.50
  6. Step 6: Final answer
    x = 64,265.74

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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.