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Finding the Fourth Proportional to 310,082.30, 465,123.45 and 85,442.30

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Solution

The fourth proportional to 310,082.30, 465,123.45 and 85,442.30 is: 128,163.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,082.30 : 465,123.45 = 85,442.30 : x
  2. Step 2: Convert to fraction form
    310,082.30/465,123.45 = 85,442.30/x
  3. Step 3: Cross multiply
    310,082.30x = 465,123.45 × 85,442.30
  4. Step 4: Simplify right side
    310,082.30x = 39,741,217,351.94
  5. Step 5: Solve for x
    x = 39,741,217,351.94/310,082.30
  6. Step 6: Final answer
    x = 128,163.45

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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.