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Finding the Fourth Proportional to 205,741.80, 283,949.82 and 115,102.80

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Solution

The fourth proportional to 205,741.80, 283,949.82 and 115,102.80 is: 158,856.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,741.80 : 283,949.82 = 115,102.80 : x
  2. Step 2: Convert to fraction form
    205,741.80/283,949.82 = 115,102.80/x
  3. Step 3: Cross multiply
    205,741.80x = 283,949.82 × 115,102.80
  4. Step 4: Simplify right side
    205,741.80x = 32,683,419,341.50
  5. Step 5: Solve for x
    x = 32,683,419,341.50/205,741.80
  6. Step 6: Final answer
    x = 158,856.49

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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.