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Finding the Fourth Proportional to 142,504.92, 196,648.97 and 78,838.92

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Solution

The fourth proportional to 142,504.92, 196,648.97 and 78,838.92 is: 108,793.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,504.92 : 196,648.97 = 78,838.92 : x
  2. Step 2: Convert to fraction form
    142,504.92/196,648.97 = 78,838.92/x
  3. Step 3: Cross multiply
    142,504.92x = 196,648.97 × 78,838.92
  4. Step 4: Simplify right side
    142,504.92x = 15,503,592,019.72
  5. Step 5: Solve for x
    x = 15,503,592,019.72/142,504.92
  6. Step 6: Final answer
    x = 108,793.38

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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.