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Finding the Fourth Proportional to 204,341.94, 281,989.16 and 114,917.94

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Solution

The fourth proportional to 204,341.94, 281,989.16 and 114,917.94 is: 158,585.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,341.94 : 281,989.16 = 114,917.94 : x
  2. Step 2: Convert to fraction form
    204,341.94/281,989.16 = 114,917.94/x
  3. Step 3: Cross multiply
    204,341.94x = 281,989.16 × 114,917.94
  4. Step 4: Simplify right side
    204,341.94x = 32,405,613,369.53
  5. Step 5: Solve for x
    x = 32,405,613,369.53/204,341.94
  6. Step 6: Final answer
    x = 158,585.23

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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.