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Finding the Fourth Proportional to 137,209.70, 205,829.67 and 43,693.94

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Solution

The fourth proportional to 137,209.70, 205,829.67 and 43,693.94 is: 65,545.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,209.70 : 205,829.67 = 43,693.94 : x
  2. Step 2: Convert to fraction form
    137,209.70/205,829.67 = 43,693.94/x
  3. Step 3: Cross multiply
    137,209.70x = 205,829.67 × 43,693.94
  4. Step 4: Simplify right side
    137,209.70x = 8,993,509,251.20
  5. Step 5: Solve for x
    x = 8,993,509,251.20/137,209.70
  6. Step 6: Final answer
    x = 65,545.72

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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.