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Finding the Fourth Proportional to 205,243.40, 283,233.16 and 114,600.88

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Solution

The fourth proportional to 205,243.40, 283,233.16 and 114,600.88 is: 158,147.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,243.40 : 283,233.16 = 114,600.88 : x
  2. Step 2: Convert to fraction form
    205,243.40/283,233.16 = 114,600.88/x
  3. Step 3: Cross multiply
    205,243.40x = 283,233.16 × 114,600.88
  4. Step 4: Simplify right side
    205,243.40x = 32,458,769,381.18
  5. Step 5: Solve for x
    x = 32,458,769,381.18/205,243.40
  6. Step 6: Final answer
    x = 158,147.69

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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.