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Finding the Fourth Proportional to 137,545.80, 206,250.65 and 48,786

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Solution

The fourth proportional to 137,545.80, 206,250.65 and 48,786 is: 73,154.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,545.80 : 206,250.65 = 48,786 : x
  2. Step 2: Convert to fraction form
    137,545.80/206,250.65 = 48,786/x
  3. Step 3: Cross multiply
    137,545.80x = 206,250.65 × 48,786
  4. Step 4: Simplify right side
    137,545.80x = 10,062,144,210.90
  5. Step 5: Solve for x
    x = 10,062,144,210.90/137,545.80
  6. Step 6: Final answer
    x = 73,154.86

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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.