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Finding the Fourth Proportional to 267,834.65, 401,753.21 and 90,343.22

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Solution

The fourth proportional to 267,834.65, 401,753.21 and 90,343.22 is: 135,515.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,834.65 : 401,753.21 = 90,343.22 : x
  2. Step 2: Convert to fraction form
    267,834.65/401,753.21 = 90,343.22/x
  3. Step 3: Cross multiply
    267,834.65x = 401,753.21 × 90,343.22
  4. Step 4: Simplify right side
    267,834.65x = 36,295,676,176.25
  5. Step 5: Solve for x
    x = 36,295,676,176.25/267,834.65
  6. Step 6: Final answer
    x = 135,515.24

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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.