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Finding the Fourth Proportional to 267,407.14, 401,045.10 and 109,680.70

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Solution

The fourth proportional to 267,407.14, 401,045.10 and 109,680.70 is: 164,494.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,407.14 : 401,045.10 = 109,680.70 : x
  2. Step 2: Convert to fraction form
    267,407.14/401,045.10 = 109,680.70/x
  3. Step 3: Cross multiply
    267,407.14x = 401,045.10 × 109,680.70
  4. Step 4: Simplify right side
    267,407.14x = 43,986,907,299.57
  5. Step 5: Solve for x
    x = 43,986,907,299.57/267,407.14
  6. Step 6: Final answer
    x = 164,494.14

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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.