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Finding the Fourth Proportional to 106,057.80, 159,086.70 and 88,691.40

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Solution

The fourth proportional to 106,057.80, 159,086.70 and 88,691.40 is: 133,037.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,057.80 : 159,086.70 = 88,691.40 : x
  2. Step 2: Convert to fraction form
    106,057.80/159,086.70 = 88,691.40/x
  3. Step 3: Cross multiply
    106,057.80x = 159,086.70 × 88,691.40
  4. Step 4: Simplify right side
    106,057.80x = 14,109,622,144.38
  5. Step 5: Solve for x
    x = 14,109,622,144.38/106,057.80
  6. Step 6: Final answer
    x = 133,037.10

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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.