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Finding the Fourth Proportional to 137,728.40, 206,641.20 and 132,868.40

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Solution

The fourth proportional to 137,728.40, 206,641.20 and 132,868.40 is: 199,349.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,728.40 : 206,641.20 = 132,868.40 : x
  2. Step 2: Convert to fraction form
    137,728.40/206,641.20 = 132,868.40/x
  3. Step 3: Cross multiply
    137,728.40x = 206,641.20 × 132,868.40
  4. Step 4: Simplify right side
    137,728.40x = 27,456,085,618.08
  5. Step 5: Solve for x
    x = 27,456,085,618.08/137,728.40
  6. Step 6: Final answer
    x = 199,349.49

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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.