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Finding the Fourth Proportional to 172,834.92, 259,257.98 and 54,507.40

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Solution

The fourth proportional to 172,834.92, 259,257.98 and 54,507.40 is: 81,762.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,834.92 : 259,257.98 = 54,507.40 : x
  2. Step 2: Convert to fraction form
    172,834.92/259,257.98 = 54,507.40/x
  3. Step 3: Cross multiply
    172,834.92x = 259,257.98 × 54,507.40
  4. Step 4: Simplify right side
    172,834.92x = 14,131,478,419.05
  5. Step 5: Solve for x
    x = 14,131,478,419.05/172,834.92
  6. Step 6: Final answer
    x = 81,762.87

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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.