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Finding the Fourth Proportional to 132,507.61, 182,865 and 75,929.92

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Solution

The fourth proportional to 132,507.61, 182,865 and 75,929.92 is: 104,785.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,507.61 : 182,865 = 75,929.92 : x
  2. Step 2: Convert to fraction form
    132,507.61/182,865 = 75,929.92/x
  3. Step 3: Cross multiply
    132,507.61x = 182,865 × 75,929.92
  4. Step 4: Simplify right side
    132,507.61x = 13,884,924,820.80
  5. Step 5: Solve for x
    x = 13,884,924,820.80/132,507.61
  6. Step 6: Final answer
    x = 104,785.87

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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.