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Finding the Fourth Proportional to 142,240.80, 196,289.48 and 78,578

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Solution

The fourth proportional to 142,240.80, 196,289.48 and 78,578 is: 108,436.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,240.80 : 196,289.48 = 78,578 : x
  2. Step 2: Convert to fraction form
    142,240.80/196,289.48 = 78,578/x
  3. Step 3: Cross multiply
    142,240.80x = 196,289.48 × 78,578
  4. Step 4: Simplify right side
    142,240.80x = 15,424,034,759.44
  5. Step 5: Solve for x
    x = 15,424,034,759.44/142,240.80
  6. Step 6: Final answer
    x = 108,436.08

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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.