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Finding the Fourth Proportional to 267,713.28, 401,409.51 and 85,265.22

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Solution

The fourth proportional to 267,713.28, 401,409.51 and 85,265.22 is: 127,846.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,713.28 : 401,409.51 = 85,265.22 : x
  2. Step 2: Convert to fraction form
    267,713.28/401,409.51 = 85,265.22/x
  3. Step 3: Cross multiply
    267,713.28x = 401,409.51 × 85,265.22
  4. Step 4: Simplify right side
    267,713.28x = 34,226,270,180.24
  5. Step 5: Solve for x
    x = 34,226,270,180.24/267,713.28
  6. Step 6: Final answer
    x = 127,846.74

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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.