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Finding the Fourth Proportional to 205,881.80, 284,103.69 and 115,222.46

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Solution

The fourth proportional to 205,881.80, 284,103.69 and 115,222.46 is: 158,999.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,881.80 : 284,103.69 = 115,222.46 : x
  2. Step 2: Convert to fraction form
    205,881.80/284,103.69 = 115,222.46/x
  3. Step 3: Cross multiply
    205,881.80x = 284,103.69 × 115,222.46
  4. Step 4: Simplify right side
    205,881.80x = 32,735,126,056.88
  5. Step 5: Solve for x
    x = 32,735,126,056.88/205,881.80
  6. Step 6: Final answer
    x = 158,999.61

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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.