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Finding the Fourth Proportional to 142,248.56, 213,299.30 and 52,268.31

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Solution

The fourth proportional to 142,248.56, 213,299.30 and 52,268.31 is: 78,375.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,248.56 : 213,299.30 = 52,268.31 : x
  2. Step 2: Convert to fraction form
    142,248.56/213,299.30 = 52,268.31/x
  3. Step 3: Cross multiply
    142,248.56x = 213,299.30 × 52,268.31
  4. Step 4: Simplify right side
    142,248.56x = 11,148,794,065.85
  5. Step 5: Solve for x
    x = 11,148,794,065.85/142,248.56
  6. Step 6: Final answer
    x = 78,375.45

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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.