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Finding the Fourth Proportional to 172,716.26, 259,083.64 and 54,396.82

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Solution

The fourth proportional to 172,716.26, 259,083.64 and 54,396.82 is: 81,598.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,716.26 : 259,083.64 = 54,396.82 : x
  2. Step 2: Convert to fraction form
    172,716.26/259,083.64 = 54,396.82/x
  3. Step 3: Cross multiply
    172,716.26x = 259,083.64 × 54,396.82
  4. Step 4: Simplify right side
    172,716.26x = 14,093,326,130.02
  5. Step 5: Solve for x
    x = 14,093,326,130.02/172,716.26
  6. Step 6: Final answer
    x = 81,598.14

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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.