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Finding the Fourth Proportional to 137,682.36, 206,545.14 and 58,797

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Solution

The fourth proportional to 137,682.36, 206,545.14 and 58,797 is: 88,204.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,682.36 : 206,545.14 = 58,797 : x
  2. Step 2: Convert to fraction form
    137,682.36/206,545.14 = 58,797/x
  3. Step 3: Cross multiply
    137,682.36x = 206,545.14 × 58,797
  4. Step 4: Simplify right side
    137,682.36x = 12,144,234,596.58
  5. Step 5: Solve for x
    x = 12,144,234,596.58/137,682.36
  6. Step 6: Final answer
    x = 88,204.72

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Why These Related Problems?

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