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Finding the Fourth Proportional to 157,818.19, 217,789.09 and 86,198.38

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Solution

The fourth proportional to 157,818.19, 217,789.09 and 86,198.38 is: 118,953.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,818.19 : 217,789.09 = 86,198.38 : x
  2. Step 2: Convert to fraction form
    157,818.19/217,789.09 = 86,198.38/x
  3. Step 3: Cross multiply
    157,818.19x = 217,789.09 × 86,198.38
  4. Step 4: Simplify right side
    157,818.19x = 18,773,066,739.67
  5. Step 5: Solve for x
    x = 18,773,066,739.67/157,818.19
  6. Step 6: Final answer
    x = 118,953.76

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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.