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Finding the Fourth Proportional to 132,486.54, 182,753.42 and 83,349.88

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Solution

The fourth proportional to 132,486.54, 182,753.42 and 83,349.88 is: 114,973.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,486.54 : 182,753.42 = 83,349.88 : x
  2. Step 2: Convert to fraction form
    132,486.54/182,753.42 = 83,349.88/x
  3. Step 3: Cross multiply
    132,486.54x = 182,753.42 × 83,349.88
  4. Step 4: Simplify right side
    132,486.54x = 15,232,475,626.59
  5. Step 5: Solve for x
    x = 15,232,475,626.59/132,486.54
  6. Step 6: Final answer
    x = 114,973.76

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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.