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Finding the Fourth Proportional to 142,208.10, 213,273.27 and 53,454.78

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Solution

The fourth proportional to 142,208.10, 213,273.27 and 53,454.78 is: 80,167.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,208.10 : 213,273.27 = 53,454.78 : x
  2. Step 2: Convert to fraction form
    142,208.10/213,273.27 = 53,454.78/x
  3. Step 3: Cross multiply
    142,208.10x = 213,273.27 × 53,454.78
  4. Step 4: Simplify right side
    142,208.10x = 11,400,475,727.73
  5. Step 5: Solve for x
    x = 11,400,475,727.73/142,208.10
  6. Step 6: Final answer
    x = 80,167.56

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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.