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Finding the Fourth Proportional to 157,504.46, 217,351.40 and 85,885.88

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Solution

The fourth proportional to 157,504.46, 217,351.40 and 85,885.88 is: 118,519.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,504.46 : 217,351.40 = 85,885.88 : x
  2. Step 2: Convert to fraction form
    157,504.46/217,351.40 = 85,885.88/x
  3. Step 3: Cross multiply
    157,504.46x = 217,351.40 × 85,885.88
  4. Step 4: Simplify right side
    157,504.46x = 18,667,414,742.05
  5. Step 5: Solve for x
    x = 18,667,414,742.05/157,504.46
  6. Step 6: Final answer
    x = 118,519.92

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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.