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Finding the Fourth Proportional to 132,938.96, 199,437.24 and 39,442

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Solution

The fourth proportional to 132,938.96, 199,437.24 and 39,442 is: 59,171.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,938.96 : 199,437.24 = 39,442 : x
  2. Step 2: Convert to fraction form
    132,938.96/199,437.24 = 39,442/x
  3. Step 3: Cross multiply
    132,938.96x = 199,437.24 × 39,442
  4. Step 4: Simplify right side
    132,938.96x = 7,866,203,620.08
  5. Step 5: Solve for x
    x = 7,866,203,620.08/132,938.96
  6. Step 6: Final answer
    x = 59,171.54

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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.