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Finding the Fourth Proportional to 142,236.80, 196,225.92 and 81,793.76

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Solution

The fourth proportional to 142,236.80, 196,225.92 and 81,793.76 is: 112,840.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,236.80 : 196,225.92 = 81,793.76 : x
  2. Step 2: Convert to fraction form
    142,236.80/196,225.92 = 81,793.76/x
  3. Step 3: Cross multiply
    142,236.80x = 196,225.92 × 81,793.76
  4. Step 4: Simplify right side
    142,236.80x = 16,050,055,806.26
  5. Step 5: Solve for x
    x = 16,050,055,806.26/142,236.80
  6. Step 6: Final answer
    x = 112,840.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.