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Finding the Fourth Proportional to 142,151.41, 196,163.80 and 78,487.84

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Solution

The fourth proportional to 142,151.41, 196,163.80 and 78,487.84 is: 108,310.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,151.41 : 196,163.80 = 78,487.84 : x
  2. Step 2: Convert to fraction form
    142,151.41/196,163.80 = 78,487.84/x
  3. Step 3: Cross multiply
    142,151.41x = 196,163.80 × 78,487.84
  4. Step 4: Simplify right side
    142,151.41x = 15,396,472,114.50
  5. Step 5: Solve for x
    x = 15,396,472,114.50/142,151.41
  6. Step 6: Final answer
    x = 108,310.38

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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.