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Finding the Fourth Proportional to 157,794.89, 217,690.89 and 96,494.65

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Solution

The fourth proportional to 157,794.89, 217,690.89 and 96,494.65 is: 133,122.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,794.89 : 217,690.89 = 96,494.65 : x
  2. Step 2: Convert to fraction form
    157,794.89/217,690.89 = 96,494.65/x
  3. Step 3: Cross multiply
    157,794.89x = 217,690.89 × 96,494.65
  4. Step 4: Simplify right side
    157,794.89x = 21,006,006,238.74
  5. Step 5: Solve for x
    x = 21,006,006,238.74/157,794.89
  6. Step 6: Final answer
    x = 133,122.22

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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.