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Finding the Fourth Proportional to 157,818.50, 217,789.53 and 86,198.69

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Solution

The fourth proportional to 157,818.50, 217,789.53 and 86,198.69 is: 118,954.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,818.50 : 217,789.53 = 86,198.69 : x
  2. Step 2: Convert to fraction form
    157,818.50/217,789.53 = 86,198.69/x
  3. Step 3: Cross multiply
    157,818.50x = 217,789.53 × 86,198.69
  4. Step 4: Simplify right side
    157,818.50x = 18,773,171,092.77
  5. Step 5: Solve for x
    x = 18,773,171,092.77/157,818.50
  6. Step 6: Final answer
    x = 118,954.19

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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.