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Finding the Fourth Proportional to 172,714.76, 259,081.38 and 54,395.32

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Solution

The fourth proportional to 172,714.76, 259,081.38 and 54,395.32 is: 81,595.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,714.76 : 259,081.38 = 54,395.32 : x
  2. Step 2: Convert to fraction form
    172,714.76/259,081.38 = 54,395.32/x
  3. Step 3: Cross multiply
    172,714.76x = 259,081.38 × 54,395.32
  4. Step 4: Simplify right side
    172,714.76x = 14,092,814,571.14
  5. Step 5: Solve for x
    x = 14,092,814,571.14/172,714.76
  6. Step 6: Final answer
    x = 81,595.89

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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.