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Finding the Fourth Proportional to 142,034.72, 196,013.70 and 81,624.30

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Solution

The fourth proportional to 142,034.72, 196,013.70 and 81,624.30 is: 112,644.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,034.72 : 196,013.70 = 81,624.30 : x
  2. Step 2: Convert to fraction form
    142,034.72/196,013.70 = 81,624.30/x
  3. Step 3: Cross multiply
    142,034.72x = 196,013.70 × 81,624.30
  4. Step 4: Simplify right side
    142,034.72x = 15,999,481,052.91
  5. Step 5: Solve for x
    x = 15,999,481,052.91/142,034.72
  6. Step 6: Final answer
    x = 112,644.86

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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.