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Finding the Fourth Proportional to 205,965.66, 284,207.66 and 115,314.52

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Solution

The fourth proportional to 205,965.66, 284,207.66 and 115,314.52 is: 159,120.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,965.66 : 284,207.66 = 115,314.52 : x
  2. Step 2: Convert to fraction form
    205,965.66/284,207.66 = 115,314.52/x
  3. Step 3: Cross multiply
    205,965.66x = 284,207.66 × 115,314.52
  4. Step 4: Simplify right side
    205,965.66x = 32,773,269,893.22
  5. Step 5: Solve for x
    x = 32,773,269,893.22/205,965.66
  6. Step 6: Final answer
    x = 159,120.07

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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.