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Finding the Fourth Proportional to 267,029.86, 400,543.78 and 109,258.26

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Solution

The fourth proportional to 267,029.86, 400,543.78 and 109,258.26 is: 163,886.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,029.86 : 400,543.78 = 109,258.26 : x
  2. Step 2: Convert to fraction form
    267,029.86/400,543.78 = 109,258.26/x
  3. Step 3: Cross multiply
    267,029.86x = 400,543.78 × 109,258.26
  4. Step 4: Simplify right side
    267,029.86x = 43,762,716,456.62
  5. Step 5: Solve for x
    x = 43,762,716,456.62/267,029.86
  6. Step 6: Final answer
    x = 163,886.98

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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.