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Finding the Fourth Proportional to 267,398.66, 401,089.75 and 109,508.19

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Solution

The fourth proportional to 267,398.66, 401,089.75 and 109,508.19 is: 164,258.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,398.66 : 401,089.75 = 109,508.19 : x
  2. Step 2: Convert to fraction form
    267,398.66/401,089.75 = 109,508.19/x
  3. Step 3: Cross multiply
    267,398.66x = 401,089.75 × 109,508.19
  4. Step 4: Simplify right side
    267,398.66x = 43,922,612,276.28
  5. Step 5: Solve for x
    x = 43,922,612,276.28/267,398.66
  6. Step 6: Final answer
    x = 164,258.91

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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.