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Finding the Fourth Proportional to 142,198.38, 213,165.78 and 53,510.70

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Solution

The fourth proportional to 142,198.38, 213,165.78 and 53,510.70 is: 80,216.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,198.38 : 213,165.78 = 53,510.70 : x
  2. Step 2: Convert to fraction form
    142,198.38/213,165.78 = 53,510.70/x
  3. Step 3: Cross multiply
    142,198.38x = 213,165.78 × 53,510.70
  4. Step 4: Simplify right side
    142,198.38x = 11,406,650,103.85
  5. Step 5: Solve for x
    x = 11,406,650,103.85/142,198.38
  6. Step 6: Final answer
    x = 80,216.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.