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Finding the Fourth Proportional to 142,649.40, 213,974.10 and 135,046.20

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Solution

The fourth proportional to 142,649.40, 213,974.10 and 135,046.20 is: 202,569.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,649.40 : 213,974.10 = 135,046.20 : x
  2. Step 2: Convert to fraction form
    142,649.40/213,974.10 = 135,046.20/x
  3. Step 3: Cross multiply
    142,649.40x = 213,974.10 × 135,046.20
  4. Step 4: Simplify right side
    142,649.40x = 28,896,389,103.42
  5. Step 5: Solve for x
    x = 28,896,389,103.42/142,649.40
  6. Step 6: Final answer
    x = 202,569.30

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Similar ratio
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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.