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Finding the Fourth Proportional to 142,403.52, 196,512.96 and 78,739.20

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Solution

The fourth proportional to 142,403.52, 196,512.96 and 78,739.20 is: 108,657.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,403.52 : 196,512.96 = 78,739.20 : x
  2. Step 2: Convert to fraction form
    142,403.52/196,512.96 = 78,739.20/x
  3. Step 3: Cross multiply
    142,403.52x = 196,512.96 × 78,739.20
  4. Step 4: Simplify right side
    142,403.52x = 15,473,273,260.03
  5. Step 5: Solve for x
    x = 15,473,273,260.03/142,403.52
  6. Step 6: Final answer
    x = 108,657.94

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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.