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Finding the Fourth Proportional to 142,006.70, 195,965.97 and 78,344.48

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Solution

The fourth proportional to 142,006.70, 195,965.97 and 78,344.48 is: 108,113.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,006.70 : 195,965.97 = 78,344.48 : x
  2. Step 2: Convert to fraction form
    142,006.70/195,965.97 = 78,344.48/x
  3. Step 3: Cross multiply
    142,006.70x = 195,965.97 × 78,344.48
  4. Step 4: Simplify right side
    142,006.70x = 15,352,852,213.47
  5. Step 5: Solve for x
    x = 15,352,852,213.47/142,006.70
  6. Step 6: Final answer
    x = 108,113.57

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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.