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Finding the Fourth Proportional to 142,338.78, 196,419.12 and 78,672.78

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Solution

The fourth proportional to 142,338.78, 196,419.12 and 78,672.78 is: 108,563.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,338.78 : 196,419.12 = 78,672.78 : x
  2. Step 2: Convert to fraction form
    142,338.78/196,419.12 = 78,672.78/x
  3. Step 3: Cross multiply
    142,338.78x = 196,419.12 × 78,672.78
  4. Step 4: Simplify right side
    142,338.78x = 15,452,838,215.55
  5. Step 5: Solve for x
    x = 15,452,838,215.55/142,338.78
  6. Step 6: Final answer
    x = 108,563.80

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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.