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Finding the Fourth Proportional to 132,537.61, 182,906.67 and 75,959.77

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Solution

The fourth proportional to 132,537.61, 182,906.67 and 75,959.77 is: 104,827.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,537.61 : 182,906.67 = 75,959.77 : x
  2. Step 2: Convert to fraction form
    132,537.61/182,906.67 = 75,959.77/x
  3. Step 3: Cross multiply
    132,537.61x = 182,906.67 × 75,959.77
  4. Step 4: Simplify right side
    132,537.61x = 13,893,548,204.87
  5. Step 5: Solve for x
    x = 13,893,548,204.87/132,537.61
  6. Step 6: Final answer
    x = 104,827.21

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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.