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Finding the Fourth Proportional to 157,251.24, 217,024.02 and 96,809.82

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Solution

The fourth proportional to 157,251.24, 217,024.02 and 96,809.82 is: 133,608.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,251.24 : 217,024.02 = 96,809.82 : x
  2. Step 2: Convert to fraction form
    157,251.24/217,024.02 = 96,809.82/x
  3. Step 3: Cross multiply
    157,251.24x = 217,024.02 × 96,809.82
  4. Step 4: Simplify right side
    157,251.24x = 21,010,056,311.88
  5. Step 5: Solve for x
    x = 21,010,056,311.88/157,251.24
  6. Step 6: Final answer
    x = 133,608.21

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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.