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Finding the Fourth Proportional to 142,419.40, 196,530.52 and 78,753.04

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Solution

The fourth proportional to 142,419.40, 196,530.52 and 78,753.04 is: 108,674.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,419.40 : 196,530.52 = 78,753.04 : x
  2. Step 2: Convert to fraction form
    142,419.40/196,530.52 = 78,753.04/x
  3. Step 3: Cross multiply
    142,419.40x = 196,530.52 × 78,753.04
  4. Step 4: Simplify right side
    142,419.40x = 15,477,375,902.78
  5. Step 5: Solve for x
    x = 15,477,375,902.78/142,419.40
  6. Step 6: Final answer
    x = 108,674.63

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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.