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Finding the Fourth Proportional to 142,115.68, 196,114.48 and 78,452.11

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Solution

The fourth proportional to 142,115.68, 196,114.48 and 78,452.11 is: 108,261.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,115.68 : 196,114.48 = 78,452.11 : x
  2. Step 2: Convert to fraction form
    142,115.68/196,114.48 = 78,452.11/x
  3. Step 3: Cross multiply
    142,115.68x = 196,114.48 × 78,452.11
  4. Step 4: Simplify right side
    142,115.68x = 15,385,594,757.55
  5. Step 5: Solve for x
    x = 15,385,594,757.55/142,115.68
  6. Step 6: Final answer
    x = 108,261.06

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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.