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Finding the Fourth Proportional to 138,732.80, 208,099.20 and 96,742.40

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Solution

The fourth proportional to 138,732.80, 208,099.20 and 96,742.40 is: 145,113.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,732.80 : 208,099.20 = 96,742.40 : x
  2. Step 2: Convert to fraction form
    138,732.80/208,099.20 = 96,742.40/x
  3. Step 3: Cross multiply
    138,732.80x = 208,099.20 × 96,742.40
  4. Step 4: Simplify right side
    138,732.80x = 20,132,016,046.08
  5. Step 5: Solve for x
    x = 20,132,016,046.08/138,732.80
  6. Step 6: Final answer
    x = 145,113.60

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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.