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Finding the Fourth Proportional to 142,082.40, 196,073.32 and 78,419.76

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Solution

The fourth proportional to 142,082.40, 196,073.32 and 78,419.76 is: 108,219.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,082.40 : 196,073.32 = 78,419.76 : x
  2. Step 2: Convert to fraction form
    142,082.40/196,073.32 = 78,419.76/x
  3. Step 3: Cross multiply
    142,082.40x = 196,073.32 × 78,419.76
  4. Step 4: Simplify right side
    142,082.40x = 15,376,022,696.80
  5. Step 5: Solve for x
    x = 15,376,022,696.80/142,082.40
  6. Step 6: Final answer
    x = 108,219.05

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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.