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Finding the Fourth Proportional to 128,037.40, 176,591.70 and 82,101.40

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Solution

The fourth proportional to 128,037.40, 176,591.70 and 82,101.40 is: 113,235.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,037.40 : 176,591.70 = 82,101.40 : x
  2. Step 2: Convert to fraction form
    128,037.40/176,591.70 = 82,101.40/x
  3. Step 3: Cross multiply
    128,037.40x = 176,591.70 × 82,101.40
  4. Step 4: Simplify right side
    128,037.40x = 14,498,425,798.38
  5. Step 5: Solve for x
    x = 14,498,425,798.38/128,037.40
  6. Step 6: Final answer
    x = 113,235.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.