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Finding the Fourth Proportional to 177,358.20, 266,037.30 and 84,046.20

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Solution

The fourth proportional to 177,358.20, 266,037.30 and 84,046.20 is: 126,069.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,358.20 : 266,037.30 = 84,046.20 : x
  2. Step 2: Convert to fraction form
    177,358.20/266,037.30 = 84,046.20/x
  3. Step 3: Cross multiply
    177,358.20x = 266,037.30 × 84,046.20
  4. Step 4: Simplify right side
    177,358.20x = 22,359,424,123.26
  5. Step 5: Solve for x
    x = 22,359,424,123.26/177,358.20
  6. Step 6: Final answer
    x = 126,069.30

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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.