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Finding the Fourth Proportional to 132,541.91, 182,906.34 and 78,827.82

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Solution

The fourth proportional to 132,541.91, 182,906.34 and 78,827.82 is: 108,781.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,541.91 : 182,906.34 = 78,827.82 : x
  2. Step 2: Convert to fraction form
    132,541.91/182,906.34 = 78,827.82/x
  3. Step 3: Cross multiply
    132,541.91x = 182,906.34 × 78,827.82
  4. Step 4: Simplify right side
    132,541.91x = 14,418,108,046.38
  5. Step 5: Solve for x
    x = 14,418,108,046.38/132,541.91
  6. Step 6: Final answer
    x = 108,781.51

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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.