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Finding the Fourth Proportional to 267,566.34, 401,408.67 and 90,067.50

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Solution

The fourth proportional to 267,566.34, 401,408.67 and 90,067.50 is: 135,121.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,566.34 : 401,408.67 = 90,067.50 : x
  2. Step 2: Convert to fraction form
    267,566.34/401,408.67 = 90,067.50/x
  3. Step 3: Cross multiply
    267,566.34x = 401,408.67 × 90,067.50
  4. Step 4: Simplify right side
    267,566.34x = 36,153,875,385.23
  5. Step 5: Solve for x
    x = 36,153,875,385.23/267,566.34
  6. Step 6: Final answer
    x = 135,121.16

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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.