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Finding the Fourth Proportional to 132,569.90, 182,905.26 and 75,199.76

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Solution

The fourth proportional to 132,569.90, 182,905.26 and 75,199.76 is: 103,752.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,569.90 : 182,905.26 = 75,199.76 : x
  2. Step 2: Convert to fraction form
    132,569.90/182,905.26 = 75,199.76/x
  3. Step 3: Cross multiply
    132,569.90x = 182,905.26 × 75,199.76
  4. Step 4: Simplify right side
    132,569.90x = 13,754,431,654.74
  5. Step 5: Solve for x
    x = 13,754,431,654.74/132,569.90
  6. Step 6: Final answer
    x = 103,752.30

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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.