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Finding the Fourth Proportional to 267,344.80, 401,026.88 and 89,857.60

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Solution

The fourth proportional to 267,344.80, 401,026.88 and 89,857.60 is: 134,789.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,344.80 : 401,026.88 = 89,857.60 : x
  2. Step 2: Convert to fraction form
    267,344.80/401,026.88 = 89,857.60/x
  3. Step 3: Cross multiply
    267,344.80x = 401,026.88 × 89,857.60
  4. Step 4: Simplify right side
    267,344.80x = 36,035,312,972.29
  5. Step 5: Solve for x
    x = 36,035,312,972.29/267,344.80
  6. Step 6: Final answer
    x = 134,789.65

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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.