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Finding the Fourth Proportional to 142,212.70, 196,253.04 and 81,780.49

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Solution

The fourth proportional to 142,212.70, 196,253.04 and 81,780.49 is: 112,856.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,212.70 : 196,253.04 = 81,780.49 : x
  2. Step 2: Convert to fraction form
    142,212.70/196,253.04 = 81,780.49/x
  3. Step 3: Cross multiply
    142,212.70x = 196,253.04 × 81,780.49
  4. Step 4: Simplify right side
    142,212.70x = 16,049,669,775.19
  5. Step 5: Solve for x
    x = 16,049,669,775.19/142,212.70
  6. Step 6: Final answer
    x = 112,856.80

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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.