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Finding the Fourth Proportional to 83,198.40, 124,727.40 and 38,801.76

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Solution

The fourth proportional to 83,198.40, 124,727.40 and 38,801.76 is: 58,169.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,198.40 : 124,727.40 = 38,801.76 : x
  2. Step 2: Convert to fraction form
    83,198.40/124,727.40 = 38,801.76/x
  3. Step 3: Cross multiply
    83,198.40x = 124,727.40 × 38,801.76
  4. Step 4: Simplify right side
    83,198.40x = 4,839,642,640.22
  5. Step 5: Solve for x
    x = 4,839,642,640.22/83,198.40
  6. Step 6: Final answer
    x = 58,169.90

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1.5x scale

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.