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Finding the Fourth Proportional to 267,126.60, 400,349.70 and 109,176.60

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Solution

The fourth proportional to 267,126.60, 400,349.70 and 109,176.60 is: 163,625.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,126.60 : 400,349.70 = 109,176.60 : x
  2. Step 2: Convert to fraction form
    267,126.60/400,349.70 = 109,176.60/x
  3. Step 3: Cross multiply
    267,126.60x = 400,349.70 × 109,176.60
  4. Step 4: Simplify right side
    267,126.60x = 43,708,819,057.02
  5. Step 5: Solve for x
    x = 43,708,819,057.02/267,126.60
  6. Step 6: Final answer
    x = 163,625.86

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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.