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Finding the Fourth Proportional to 202,551.60, 303,827.40 and 132,049.20

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Solution

The fourth proportional to 202,551.60, 303,827.40 and 132,049.20 is: 198,073.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,551.60 : 303,827.40 = 132,049.20 : x
  2. Step 2: Convert to fraction form
    202,551.60/303,827.40 = 132,049.20/x
  3. Step 3: Cross multiply
    202,551.60x = 303,827.40 × 132,049.20
  4. Step 4: Simplify right side
    202,551.60x = 40,120,165,108.08
  5. Step 5: Solve for x
    x = 40,120,165,108.08/202,551.60
  6. Step 6: Final answer
    x = 198,073.80

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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.