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Finding the Fourth Proportional to 267,698.34, 401,584.50 and 90,256.08

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Solution

The fourth proportional to 267,698.34, 401,584.50 and 90,256.08 is: 135,396.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,698.34 : 401,584.50 = 90,256.08 : x
  2. Step 2: Convert to fraction form
    267,698.34/401,584.50 = 90,256.08/x
  3. Step 3: Cross multiply
    267,698.34x = 401,584.50 × 90,256.08
  4. Step 4: Simplify right side
    267,698.34x = 36,245,442,758.76
  5. Step 5: Solve for x
    x = 36,245,442,758.76/267,698.34
  6. Step 6: Final answer
    x = 135,396.59

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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.