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Finding the Fourth Proportional to 176,151.60, 264,227.58 and 82,657.44

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Solution

The fourth proportional to 176,151.60, 264,227.58 and 82,657.44 is: 123,986.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,151.60 : 264,227.58 = 82,657.44 : x
  2. Step 2: Convert to fraction form
    176,151.60/264,227.58 = 82,657.44/x
  3. Step 3: Cross multiply
    176,151.60x = 264,227.58 × 82,657.44
  4. Step 4: Simplify right side
    176,151.60x = 21,840,375,340.20
  5. Step 5: Solve for x
    x = 21,840,375,340.20/176,151.60
  6. Step 6: Final answer
    x = 123,986.24

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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.