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Finding the Fourth Proportional to 205,858.86, 284,083.38 and 115,213.80

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Solution

The fourth proportional to 205,858.86, 284,083.38 and 115,213.80 is: 158,994.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,858.86 : 284,083.38 = 115,213.80 : x
  2. Step 2: Convert to fraction form
    205,858.86/284,083.38 = 115,213.80/x
  3. Step 3: Cross multiply
    205,858.86x = 284,083.38 × 115,213.80
  4. Step 4: Simplify right side
    205,858.86x = 32,730,325,726.64
  5. Step 5: Solve for x
    x = 32,730,325,726.64/205,858.86
  6. Step 6: Final answer
    x = 158,994.01

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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.