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Finding the Fourth Proportional to 202,857.60, 304,286.40 and 132,355.20

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Solution

The fourth proportional to 202,857.60, 304,286.40 and 132,355.20 is: 198,532.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,857.60 : 304,286.40 = 132,355.20 : x
  2. Step 2: Convert to fraction form
    202,857.60/304,286.40 = 132,355.20/x
  3. Step 3: Cross multiply
    202,857.60x = 304,286.40 × 132,355.20
  4. Step 4: Simplify right side
    202,857.60x = 40,273,887,329.28
  5. Step 5: Solve for x
    x = 40,273,887,329.28/202,857.60
  6. Step 6: Final answer
    x = 198,532.80

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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.