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Finding the Fourth Proportional to 82,857.60, 124,286.40 and 80,553.60

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Solution

The fourth proportional to 82,857.60, 124,286.40 and 80,553.60 is: 120,830.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,857.60 : 124,286.40 = 80,553.60 : x
  2. Step 2: Convert to fraction form
    82,857.60/124,286.40 = 80,553.60/x
  3. Step 3: Cross multiply
    82,857.60x = 124,286.40 × 80,553.60
  4. Step 4: Simplify right side
    82,857.60x = 10,011,716,951.04
  5. Step 5: Solve for x
    x = 10,011,716,951.04/82,857.60
  6. Step 6: Final answer
    x = 120,830.40

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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.