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Finding the Fourth Proportional to 132,040, 182,215.50 and 75,451.24

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Solution

The fourth proportional to 132,040, 182,215.50 and 75,451.24 is: 104,122.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,040 : 182,215.50 = 75,451.24 : x
  2. Step 2: Convert to fraction form
    132,040/182,215.50 = 75,451.24/x
  3. Step 3: Cross multiply
    132,040x = 182,215.50 × 75,451.24
  4. Step 4: Simplify right side
    132,040x = 13,748,385,422.22
  5. Step 5: Solve for x
    x = 13,748,385,422.22/132,040
  6. Step 6: Final answer
    x = 104,122.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.