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Finding the Fourth Proportional to 142,658.92, 196,869.18 and 78,996.71

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Solution

The fourth proportional to 142,658.92, 196,869.18 and 78,996.71 is: 109,015.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,658.92 : 196,869.18 = 78,996.71 : x
  2. Step 2: Convert to fraction form
    142,658.92/196,869.18 = 78,996.71/x
  3. Step 3: Cross multiply
    142,658.92x = 196,869.18 × 78,996.71
  4. Step 4: Simplify right side
    142,658.92x = 15,552,017,520.40
  5. Step 5: Solve for x
    x = 15,552,017,520.40/142,658.92
  6. Step 6: Final answer
    x = 109,015.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.