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Finding the Fourth Proportional to 205,176.93, 307,198.59 and 105,121.68

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Solution

The fourth proportional to 205,176.93, 307,198.59 and 105,121.68 is: 157,392.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,176.93 : 307,198.59 = 105,121.68 : x
  2. Step 2: Convert to fraction form
    205,176.93/307,198.59 = 105,121.68/x
  3. Step 3: Cross multiply
    205,176.93x = 307,198.59 × 105,121.68
  4. Step 4: Simplify right side
    205,176.93x = 32,293,231,874.43
  5. Step 5: Solve for x
    x = 32,293,231,874.43/205,176.93
  6. Step 6: Final answer
    x = 157,392.12

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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.