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Finding the Fourth Proportional to 267,861.53, 401,746.10 and 75,749.38

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Solution

The fourth proportional to 267,861.53, 401,746.10 and 75,749.38 is: 113,611.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,861.53 : 401,746.10 = 75,749.38 : x
  2. Step 2: Convert to fraction form
    267,861.53/401,746.10 = 75,749.38/x
  3. Step 3: Cross multiply
    267,861.53x = 401,746.10 × 75,749.38
  4. Step 4: Simplify right side
    267,861.53x = 30,432,016,609.31
  5. Step 5: Solve for x
    x = 30,432,016,609.31/267,861.53
  6. Step 6: Final answer
    x = 113,611.00

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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.