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Finding the Fourth Proportional to 267,533.70, 401,301.30 and 67,854.24

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Solution

The fourth proportional to 267,533.70, 401,301.30 and 67,854.24 is: 101,781.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,533.70 : 401,301.30 = 67,854.24 : x
  2. Step 2: Convert to fraction form
    267,533.70/401,301.30 = 67,854.24/x
  3. Step 3: Cross multiply
    267,533.70x = 401,301.30 × 67,854.24
  4. Step 4: Simplify right side
    267,533.70x = 27,229,994,722.51
  5. Step 5: Solve for x
    x = 27,229,994,722.51/267,533.70
  6. Step 6: Final answer
    x = 101,781.55

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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.