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Finding the Fourth Proportional to 172,737, 259,105.50 and 48,081.24

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Solution

The fourth proportional to 172,737, 259,105.50 and 48,081.24 is: 72,121.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,737 : 259,105.50 = 48,081.24 : x
  2. Step 2: Convert to fraction form
    172,737/259,105.50 = 48,081.24/x
  3. Step 3: Cross multiply
    172,737x = 259,105.50 × 48,081.24
  4. Step 4: Simplify right side
    172,737x = 12,458,113,730.82
  5. Step 5: Solve for x
    x = 12,458,113,730.82/172,737
  6. Step 6: Final answer
    x = 72,121.86

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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.