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Finding the Fourth Proportional to 142,380.56, 196,477.32 and 78,714.56

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Solution

The fourth proportional to 142,380.56, 196,477.32 and 78,714.56 is: 108,621.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,380.56 : 196,477.32 = 78,714.56 : x
  2. Step 2: Convert to fraction form
    142,380.56/196,477.32 = 78,714.56/x
  3. Step 3: Cross multiply
    142,380.56x = 196,477.32 × 78,714.56
  4. Step 4: Simplify right side
    142,380.56x = 15,465,625,793.78
  5. Step 5: Solve for x
    x = 15,465,625,793.78/142,380.56
  6. Step 6: Final answer
    x = 108,621.75

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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.