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Finding the Fourth Proportional to 172,859.45, 259,286.60 and 105,411.30

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Solution

The fourth proportional to 172,859.45, 259,286.60 and 105,411.30 is: 158,115.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,859.45 : 259,286.60 = 105,411.30 : x
  2. Step 2: Convert to fraction form
    172,859.45/259,286.60 = 105,411.30/x
  3. Step 3: Cross multiply
    172,859.45x = 259,286.60 × 105,411.30
  4. Step 4: Simplify right side
    172,859.45x = 27,331,737,051.52
  5. Step 5: Solve for x
    x = 27,331,737,051.52/172,859.45
  6. Step 6: Final answer
    x = 158,115.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.