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Finding the Fourth Proportional to 132,464.57, 182,805.90 and 75,886.88

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Solution

The fourth proportional to 132,464.57, 182,805.90 and 75,886.88 is: 104,726.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,464.57 : 182,805.90 = 75,886.88 : x
  2. Step 2: Convert to fraction form
    132,464.57/182,805.90 = 75,886.88/x
  3. Step 3: Cross multiply
    132,464.57x = 182,805.90 × 75,886.88
  4. Step 4: Simplify right side
    132,464.57x = 13,872,569,396.59
  5. Step 5: Solve for x
    x = 13,872,569,396.59/132,464.57
  6. Step 6: Final answer
    x = 104,726.64

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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.