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Finding the Fourth Proportional to 172,834.19, 259,251.29 and 54,514.76

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Solution

The fourth proportional to 172,834.19, 259,251.29 and 54,514.76 is: 81,772.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,834.19 : 259,251.29 = 54,514.76 : x
  2. Step 2: Convert to fraction form
    172,834.19/259,251.29 = 54,514.76/x
  3. Step 3: Cross multiply
    172,834.19x = 259,251.29 × 54,514.76
  4. Step 4: Simplify right side
    172,834.19x = 14,133,020,285.21
  5. Step 5: Solve for x
    x = 14,133,020,285.21/172,834.19
  6. Step 6: Final answer
    x = 81,772.13

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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.