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Finding the Fourth Proportional to 205,000.30, 282,786.69 and 120,100.96

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Solution

The fourth proportional to 205,000.30, 282,786.69 and 120,100.96 is: 165,672.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,000.30 : 282,786.69 = 120,100.96 : x
  2. Step 2: Convert to fraction form
    205,000.30/282,786.69 = 120,100.96/x
  3. Step 3: Cross multiply
    205,000.30x = 282,786.69 × 120,100.96
  4. Step 4: Simplify right side
    205,000.30x = 33,962,952,944.22
  5. Step 5: Solve for x
    x = 33,962,952,944.22/205,000.30
  6. Step 6: Final answer
    x = 165,672.70

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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.