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Finding the Fourth Proportional to 204,781.70, 282,600.14 and 114,143.49

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Solution

The fourth proportional to 204,781.70, 282,600.14 and 114,143.49 is: 157,518.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,781.70 : 282,600.14 = 114,143.49 : x
  2. Step 2: Convert to fraction form
    204,781.70/282,600.14 = 114,143.49/x
  3. Step 3: Cross multiply
    204,781.70x = 282,600.14 × 114,143.49
  4. Step 4: Simplify right side
    204,781.70x = 32,256,965,683.37
  5. Step 5: Solve for x
    x = 32,256,965,683.37/204,781.70
  6. Step 6: Final answer
    x = 157,518.79

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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.