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Finding the Fourth Proportional to 172,764, 259,146 and 48,108.24

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Solution

The fourth proportional to 172,764, 259,146 and 48,108.24 is: 72,162.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,764 : 259,146 = 48,108.24 : x
  2. Step 2: Convert to fraction form
    172,764/259,146 = 48,108.24/x
  3. Step 3: Cross multiply
    172,764x = 259,146 × 48,108.24
  4. Step 4: Simplify right side
    172,764x = 12,467,057,963.04
  5. Step 5: Solve for x
    x = 12,467,057,963.04/172,764
  6. Step 6: Final answer
    x = 72,162.36

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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.