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Finding the Fourth Proportional to 205,314.62, 283,306.17 and 114,659.03

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Solution

The fourth proportional to 205,314.62, 283,306.17 and 114,659.03 is: 158,213.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,314.62 : 283,306.17 = 114,659.03 : x
  2. Step 2: Convert to fraction form
    205,314.62/283,306.17 = 114,659.03/x
  3. Step 3: Cross multiply
    205,314.62x = 283,306.17 × 114,659.03
  4. Step 4: Simplify right side
    205,314.62x = 32,483,609,222.42
  5. Step 5: Solve for x
    x = 32,483,609,222.42/205,314.62
  6. Step 6: Final answer
    x = 158,213.81

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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.