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Finding the Fourth Proportional to 175,510.88, 263,266.32 and 82,082.24

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Solution

The fourth proportional to 175,510.88, 263,266.32 and 82,082.24 is: 123,123.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,510.88 : 263,266.32 = 82,082.24 : x
  2. Step 2: Convert to fraction form
    175,510.88/263,266.32 = 82,082.24/x
  3. Step 3: Cross multiply
    175,510.88x = 263,266.32 × 82,082.24
  4. Step 4: Simplify right side
    175,510.88x = 21,609,489,262.16
  5. Step 5: Solve for x
    x = 21,609,489,262.16/175,510.88
  6. Step 6: Final answer
    x = 123,123.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.