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Finding the Fourth Proportional to 142,086.96, 196,078.32 and 78,423.39

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Solution

The fourth proportional to 142,086.96, 196,078.32 and 78,423.39 is: 108,223.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,086.96 : 196,078.32 = 78,423.39 : x
  2. Step 2: Convert to fraction form
    142,086.96/196,078.32 = 78,423.39/x
  3. Step 3: Cross multiply
    142,086.96x = 196,078.32 × 78,423.39
  4. Step 4: Simplify right side
    142,086.96x = 15,377,126,559.90
  5. Step 5: Solve for x
    x = 15,377,126,559.90/142,086.96
  6. Step 6: Final answer
    x = 108,223.35

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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.