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Finding the Fourth Proportional to 198,082.48, 273,351.36 and 107,437

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Solution

The fourth proportional to 198,082.48, 273,351.36 and 107,437 is: 148,261.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,082.48 : 273,351.36 = 107,437 : x
  2. Step 2: Convert to fraction form
    198,082.48/273,351.36 = 107,437/x
  3. Step 3: Cross multiply
    198,082.48x = 273,351.36 × 107,437
  4. Step 4: Simplify right side
    198,082.48x = 29,368,050,064.32
  5. Step 5: Solve for x
    x = 29,368,050,064.32/198,082.48
  6. Step 6: Final answer
    x = 148,261.72

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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.