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Finding the Fourth Proportional to 132,101.69, 182,300.34 and 75,514.28

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Solution

The fourth proportional to 132,101.69, 182,300.34 and 75,514.28 is: 104,209.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,101.69 : 182,300.34 = 75,514.28 : x
  2. Step 2: Convert to fraction form
    132,101.69/182,300.34 = 75,514.28/x
  3. Step 3: Cross multiply
    132,101.69x = 182,300.34 × 75,514.28
  4. Step 4: Simplify right side
    132,101.69x = 13,766,278,463.10
  5. Step 5: Solve for x
    x = 13,766,278,463.10/132,101.69
  6. Step 6: Final answer
    x = 104,209.71

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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.