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Finding the Fourth Proportional to 172,714.26, 259,080.63 and 54,394.81

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Solution

The fourth proportional to 172,714.26, 259,080.63 and 54,394.81 is: 81,595.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,714.26 : 259,080.63 = 54,394.81 : x
  2. Step 2: Convert to fraction form
    172,714.26/259,080.63 = 54,394.81/x
  3. Step 3: Cross multiply
    172,714.26x = 259,080.63 × 54,394.81
  4. Step 4: Simplify right side
    172,714.26x = 14,092,641,643.53
  5. Step 5: Solve for x
    x = 14,092,641,643.53/172,714.26
  6. Step 6: Final answer
    x = 81,595.13

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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.