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Finding the Fourth Proportional to 142,294.56, 196,366.56 and 78,632.36

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Solution

The fourth proportional to 142,294.56, 196,366.56 and 78,632.36 is: 108,512.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,294.56 : 196,366.56 = 78,632.36 : x
  2. Step 2: Convert to fraction form
    142,294.56/196,366.56 = 78,632.36/x
  3. Step 3: Cross multiply
    142,294.56x = 196,366.56 × 78,632.36
  4. Step 4: Simplify right side
    142,294.56x = 15,440,766,037.88
  5. Step 5: Solve for x
    x = 15,440,766,037.88/142,294.56
  6. Step 6: Final answer
    x = 108,512.69

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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.