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Finding the Fourth Proportional to 205,635.49, 283,775.03 and 114,990.41

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Solution

The fourth proportional to 205,635.49, 283,775.03 and 114,990.41 is: 158,685.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,635.49 : 283,775.03 = 114,990.41 : x
  2. Step 2: Convert to fraction form
    205,635.49/283,775.03 = 114,990.41/x
  3. Step 3: Cross multiply
    205,635.49x = 283,775.03 × 114,990.41
  4. Step 4: Simplify right side
    205,635.49x = 32,631,407,613.16
  5. Step 5: Solve for x
    x = 32,631,407,613.16/205,635.49
  6. Step 6: Final answer
    x = 158,685.68

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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.