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Finding the Fourth Proportional to 142,104.60, 196,108.56 and 78,446.52

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Solution

The fourth proportional to 142,104.60, 196,108.56 and 78,446.52 is: 108,258.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,104.60 : 196,108.56 = 78,446.52 : x
  2. Step 2: Convert to fraction form
    142,104.60/196,108.56 = 78,446.52/x
  3. Step 3: Cross multiply
    142,104.60x = 196,108.56 × 78,446.52
  4. Step 4: Simplify right side
    142,104.60x = 15,384,034,074.21
  5. Step 5: Solve for x
    x = 15,384,034,074.21/142,104.60
  6. Step 6: Final answer
    x = 108,258.52

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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.