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Finding the Fourth Proportional to 205,999.60, 284,255.95 and 115,342.96

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Solution

The fourth proportional to 205,999.60, 284,255.95 and 115,342.96 is: 159,160.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,999.60 : 284,255.95 = 115,342.96 : x
  2. Step 2: Convert to fraction form
    205,999.60/284,255.95 = 115,342.96/x
  3. Step 3: Cross multiply
    205,999.60x = 284,255.95 × 115,342.96
  4. Step 4: Simplify right side
    205,999.60x = 32,786,920,672.62
  5. Step 5: Solve for x
    x = 32,786,920,672.62/205,999.60
  6. Step 6: Final answer
    x = 159,160.12

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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.