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Finding the Fourth Proportional to 172,738, 259,107 and 48,082.24

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Solution

The fourth proportional to 172,738, 259,107 and 48,082.24 is: 72,123.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,738 : 259,107 = 48,082.24 : x
  2. Step 2: Convert to fraction form
    172,738/259,107 = 48,082.24/x
  3. Step 3: Cross multiply
    172,738x = 259,107 × 48,082.24
  4. Step 4: Simplify right side
    172,738x = 12,458,444,959.68
  5. Step 5: Solve for x
    x = 12,458,444,959.68/172,738
  6. Step 6: Final answer
    x = 72,123.36

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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.