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Finding the Fourth Proportional to 149,299.38, 206,031.06 and 85,635.78

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Solution

The fourth proportional to 149,299.38, 206,031.06 and 85,635.78 is: 118,176.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,299.38 : 206,031.06 = 85,635.78 : x
  2. Step 2: Convert to fraction form
    149,299.38/206,031.06 = 85,635.78/x
  3. Step 3: Cross multiply
    149,299.38x = 206,031.06 × 85,635.78
  4. Step 4: Simplify right side
    149,299.38x = 17,643,630,527.33
  5. Step 5: Solve for x
    x = 17,643,630,527.33/149,299.38
  6. Step 6: Final answer
    x = 118,176.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.