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Finding the Fourth Proportional to 132,419.76, 182,735.46 and 75,064.38

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Solution

The fourth proportional to 132,419.76, 182,735.46 and 75,064.38 is: 103,586.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,419.76 : 182,735.46 = 75,064.38 : x
  2. Step 2: Convert to fraction form
    132,419.76/182,735.46 = 75,064.38/x
  3. Step 3: Cross multiply
    132,419.76x = 182,735.46 × 75,064.38
  4. Step 4: Simplify right side
    132,419.76x = 13,716,924,278.09
  5. Step 5: Solve for x
    x = 13,716,924,278.09/132,419.76
  6. Step 6: Final answer
    x = 103,586.69

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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.