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Finding the Fourth Proportional to 157,496.46, 217,340.38 and 85,877.88

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Solution

The fourth proportional to 157,496.46, 217,340.38 and 85,877.88 is: 118,508.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,496.46 : 217,340.38 = 85,877.88 : x
  2. Step 2: Convert to fraction form
    157,496.46/217,340.38 = 85,877.88/x
  3. Step 3: Cross multiply
    157,496.46x = 217,340.38 × 85,877.88
  4. Step 4: Simplify right side
    157,496.46x = 18,664,731,072.79
  5. Step 5: Solve for x
    x = 18,664,731,072.79/157,496.46
  6. Step 6: Final answer
    x = 118,508.89

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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.