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Finding the Fourth Proportional to 142,351.53, 196,437.42 and 78,685.53

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Solution

The fourth proportional to 142,351.53, 196,437.42 and 78,685.53 is: 108,581.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,351.53 : 196,437.42 = 78,685.53 : x
  2. Step 2: Convert to fraction form
    142,351.53/196,437.42 = 78,685.53/x
  3. Step 3: Cross multiply
    142,351.53x = 196,437.42 × 78,685.53
  4. Step 4: Simplify right side
    142,351.53x = 15,456,782,504.53
  5. Step 5: Solve for x
    x = 15,456,782,504.53/142,351.53
  6. Step 6: Final answer
    x = 108,581.78

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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.