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Finding the Fourth Proportional to 172,798.34, 259,232.78 and 97,951.91

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Solution

The fourth proportional to 172,798.34, 259,232.78 and 97,951.91 is: 146,947.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,798.34 : 259,232.78 = 97,951.91 : x
  2. Step 2: Convert to fraction form
    172,798.34/259,232.78 = 97,951.91/x
  3. Step 3: Cross multiply
    172,798.34x = 259,232.78 × 97,951.91
  4. Step 4: Simplify right side
    172,798.34x = 25,392,344,884.33
  5. Step 5: Solve for x
    x = 25,392,344,884.33/172,798.34
  6. Step 6: Final answer
    x = 146,947.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.