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Finding the Fourth Proportional to 267,547.20, 401,320.80 and 109,723.20

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Solution

The fourth proportional to 267,547.20, 401,320.80 and 109,723.20 is: 164,584.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,547.20 : 401,320.80 = 109,723.20 : x
  2. Step 2: Convert to fraction form
    267,547.20/401,320.80 = 109,723.20/x
  3. Step 3: Cross multiply
    267,547.20x = 401,320.80 × 109,723.20
  4. Step 4: Simplify right side
    267,547.20x = 44,034,202,402.56
  5. Step 5: Solve for x
    x = 44,034,202,402.56/267,547.20
  6. Step 6: Final answer
    x = 164,584.80

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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.