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Finding the Fourth Proportional to 267,758.64, 401,357.76 and 90,204.32

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Solution

The fourth proportional to 267,758.64, 401,357.76 and 90,204.32 is: 135,212.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,758.64 : 401,357.76 = 90,204.32 : x
  2. Step 2: Convert to fraction form
    267,758.64/401,357.76 = 90,204.32/x
  3. Step 3: Cross multiply
    267,758.64x = 401,357.76 × 90,204.32
  4. Step 4: Simplify right side
    267,758.64x = 36,204,201,810.73
  5. Step 5: Solve for x
    x = 36,204,201,810.73/267,758.64
  6. Step 6: Final answer
    x = 135,212.08

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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.