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Finding the Fourth Proportional to 267,163.24, 400,947.90 and 98,842.72

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Solution

The fourth proportional to 267,163.24, 400,947.90 and 98,842.72 is: 148,339.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,163.24 : 400,947.90 = 98,842.72 : x
  2. Step 2: Convert to fraction form
    267,163.24/400,947.90 = 98,842.72/x
  3. Step 3: Cross multiply
    267,163.24x = 400,947.90 × 98,842.72
  4. Step 4: Simplify right side
    267,163.24x = 39,630,781,014.29
  5. Step 5: Solve for x
    x = 39,630,781,014.29/267,163.24
  6. Step 6: Final answer
    x = 148,339.20

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Why These Related Problems?

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