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Finding the Fourth Proportional to 143,082.49, 197,456.16 and 78,557.68

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Solution

The fourth proportional to 143,082.49, 197,456.16 and 78,557.68 is: 108,410.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,082.49 : 197,456.16 = 78,557.68 : x
  2. Step 2: Convert to fraction form
    143,082.49/197,456.16 = 78,557.68/x
  3. Step 3: Cross multiply
    143,082.49x = 197,456.16 × 78,557.68
  4. Step 4: Simplify right side
    143,082.49x = 15,511,697,831.31
  5. Step 5: Solve for x
    x = 15,511,697,831.31/143,082.49
  6. Step 6: Final answer
    x = 108,410.87

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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.