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Finding the Fourth Proportional to 132,458.32, 182,786.92 and 75,101.50

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Solution

The fourth proportional to 132,458.32, 182,786.92 and 75,101.50 is: 103,636.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,458.32 : 182,786.92 = 75,101.50 : x
  2. Step 2: Convert to fraction form
    132,458.32/182,786.92 = 75,101.50/x
  3. Step 3: Cross multiply
    132,458.32x = 182,786.92 × 75,101.50
  4. Step 4: Simplify right side
    132,458.32x = 13,727,571,872.38
  5. Step 5: Solve for x
    x = 13,727,571,872.38/132,458.32
  6. Step 6: Final answer
    x = 103,636.92

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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.