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Finding the Fourth Proportional to 132,022.80, 198,034.20 and 65,473.20

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Solution

The fourth proportional to 132,022.80, 198,034.20 and 65,473.20 is: 98,209.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,022.80 : 198,034.20 = 65,473.20 : x
  2. Step 2: Convert to fraction form
    132,022.80/198,034.20 = 65,473.20/x
  3. Step 3: Cross multiply
    132,022.80x = 198,034.20 × 65,473.20
  4. Step 4: Simplify right side
    132,022.80x = 12,965,932,783.44
  5. Step 5: Solve for x
    x = 12,965,932,783.44/132,022.80
  6. Step 6: Final answer
    x = 98,209.80

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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.