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Finding the Fourth Proportional to 172,934.75, 259,410.08 and 52,983.11

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Solution

The fourth proportional to 172,934.75, 259,410.08 and 52,983.11 is: 79,477.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,934.75 : 259,410.08 = 52,983.11 : x
  2. Step 2: Convert to fraction form
    172,934.75/259,410.08 = 52,983.11/x
  3. Step 3: Cross multiply
    172,934.75x = 259,410.08 × 52,983.11
  4. Step 4: Simplify right side
    172,934.75x = 13,744,353,584.73
  5. Step 5: Solve for x
    x = 13,744,353,584.73/172,934.75
  6. Step 6: Final answer
    x = 79,477.11

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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.