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Finding the Fourth Proportional to 267,520.29, 401,163.77 and 101,191.65

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Solution

The fourth proportional to 267,520.29, 401,163.77 and 101,191.65 is: 151,743.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,520.29 : 401,163.77 = 101,191.65 : x
  2. Step 2: Convert to fraction form
    267,520.29/401,163.77 = 101,191.65/x
  3. Step 3: Cross multiply
    267,520.29x = 401,163.77 × 101,191.65
  4. Step 4: Simplify right side
    267,520.29x = 40,594,421,294.74
  5. Step 5: Solve for x
    x = 40,594,421,294.74/267,520.29
  6. Step 6: Final answer
    x = 151,743.34

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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.