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Finding the Fourth Proportional to 217,264.78, 299,759.38 and 136,772.65

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Solution

The fourth proportional to 217,264.78, 299,759.38 and 136,772.65 is: 188,704.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,264.78 : 299,759.38 = 136,772.65 : x
  2. Step 2: Convert to fraction form
    217,264.78/299,759.38 = 136,772.65/x
  3. Step 3: Cross multiply
    217,264.78x = 299,759.38 × 136,772.65
  4. Step 4: Simplify right side
    217,264.78x = 40,998,885,567.07
  5. Step 5: Solve for x
    x = 40,998,885,567.07/217,264.78
  6. Step 6: Final answer
    x = 188,704.70

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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.