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Finding the Fourth Proportional to 142,380.70, 196,489.32 and 78,722.59

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Solution

The fourth proportional to 142,380.70, 196,489.32 and 78,722.59 is: 108,639.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,380.70 : 196,489.32 = 78,722.59 : x
  2. Step 2: Convert to fraction form
    142,380.70/196,489.32 = 78,722.59/x
  3. Step 3: Cross multiply
    142,380.70x = 196,489.32 × 78,722.59
  4. Step 4: Simplify right side
    142,380.70x = 15,468,148,177.74
  5. Step 5: Solve for x
    x = 15,468,148,177.74/142,380.70
  6. Step 6: Final answer
    x = 108,639.36

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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.