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Finding the Fourth Proportional to 137,722.70, 206,584.05 and 95,732.30

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Solution

The fourth proportional to 137,722.70, 206,584.05 and 95,732.30 is: 143,598.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,722.70 : 206,584.05 = 95,732.30 : x
  2. Step 2: Convert to fraction form
    137,722.70/206,584.05 = 95,732.30/x
  3. Step 3: Cross multiply
    137,722.70x = 206,584.05 × 95,732.30
  4. Step 4: Simplify right side
    137,722.70x = 19,776,766,249.82
  5. Step 5: Solve for x
    x = 19,776,766,249.82/137,722.70
  6. Step 6: Final answer
    x = 143,598.45

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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.