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Finding the Fourth Proportional to 267,611.96, 401,433.06 and 117,922.16

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Solution

The fourth proportional to 267,611.96, 401,433.06 and 117,922.16 is: 176,889.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,611.96 : 401,433.06 = 117,922.16 : x
  2. Step 2: Convert to fraction form
    267,611.96/401,433.06 = 117,922.16/x
  3. Step 3: Cross multiply
    267,611.96x = 401,433.06 × 117,922.16
  4. Step 4: Simplify right side
    267,611.96x = 47,337,853,530.61
  5. Step 5: Solve for x
    x = 47,337,853,530.61/267,611.96
  6. Step 6: Final answer
    x = 176,889.90

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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.