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Finding the Fourth Proportional to 132,463.59, 182,735.48 and 78,710.54

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Solution

The fourth proportional to 132,463.59, 182,735.48 and 78,710.54 is: 108,582.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,463.59 : 182,735.48 = 78,710.54 : x
  2. Step 2: Convert to fraction form
    132,463.59/182,735.48 = 78,710.54/x
  3. Step 3: Cross multiply
    132,463.59x = 182,735.48 × 78,710.54
  4. Step 4: Simplify right side
    132,463.59x = 14,383,207,000.73
  5. Step 5: Solve for x
    x = 14,383,207,000.73/132,463.59
  6. Step 6: Final answer
    x = 108,582.34

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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.