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Finding the Fourth Proportional to 142,000.18, 195,960.23 and 78,337.97

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Solution

The fourth proportional to 142,000.18, 195,960.23 and 78,337.97 is: 108,106.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,000.18 : 195,960.23 = 78,337.97 : x
  2. Step 2: Convert to fraction form
    142,000.18/195,960.23 = 78,337.97/x
  3. Step 3: Cross multiply
    142,000.18x = 195,960.23 × 78,337.97
  4. Step 4: Simplify right side
    142,000.18x = 15,351,126,618.93
  5. Step 5: Solve for x
    x = 15,351,126,618.93/142,000.18
  6. Step 6: Final answer
    x = 108,106.39

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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.