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Finding the Fourth Proportional to 267,691.64, 401,470.10 and 109,963.64

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Solution

The fourth proportional to 267,691.64, 401,470.10 and 109,963.64 is: 164,917.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,691.64 : 401,470.10 = 109,963.64 : x
  2. Step 2: Convert to fraction form
    267,691.64/401,470.10 = 109,963.64/x
  3. Step 3: Cross multiply
    267,691.64x = 401,470.10 × 109,963.64
  4. Step 4: Simplify right side
    267,691.64x = 44,147,113,547.16
  5. Step 5: Solve for x
    x = 44,147,113,547.16/267,691.64
  6. Step 6: Final answer
    x = 164,917.79

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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.