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Finding the Fourth Proportional to 205,757.61, 283,938.98 and 115,115.16

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Solution

The fourth proportional to 205,757.61, 283,938.98 and 115,115.16 is: 158,855.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,757.61 : 283,938.98 = 115,115.16 : x
  2. Step 2: Convert to fraction form
    205,757.61/283,938.98 = 115,115.16/x
  3. Step 3: Cross multiply
    205,757.61x = 283,938.98 × 115,115.16
  4. Step 4: Simplify right side
    205,757.61x = 32,685,681,112.94
  5. Step 5: Solve for x
    x = 32,685,681,112.94/205,757.61
  6. Step 6: Final answer
    x = 158,855.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.