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Finding the Fourth Proportional to 142,348.52, 196,439.94 and 78,685.16

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Solution

The fourth proportional to 142,348.52, 196,439.94 and 78,685.16 is: 108,584.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,348.52 : 196,439.94 = 78,685.16 : x
  2. Step 2: Convert to fraction form
    142,348.52/196,439.94 = 78,685.16/x
  3. Step 3: Cross multiply
    142,348.52x = 196,439.94 × 78,685.16
  4. Step 4: Simplify right side
    142,348.52x = 15,456,908,109.29
  5. Step 5: Solve for x
    x = 15,456,908,109.29/142,348.52
  6. Step 6: Final answer
    x = 108,584.96

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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.