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Finding the Fourth Proportional to 108,082.28, 162,180.50 and 76,695.16

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Solution

The fourth proportional to 108,082.28, 162,180.50 and 76,695.16 is: 115,083.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,082.28 : 162,180.50 = 76,695.16 : x
  2. Step 2: Convert to fraction form
    108,082.28/162,180.50 = 76,695.16/x
  3. Step 3: Cross multiply
    108,082.28x = 162,180.50 × 76,695.16
  4. Step 4: Simplify right side
    108,082.28x = 12,438,459,396.38
  5. Step 5: Solve for x
    x = 12,438,459,396.38/108,082.28
  6. Step 6: Final answer
    x = 115,083.24

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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.