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Finding the Fourth Proportional to 204,227.87, 281,831.96 and 114,803.87

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Solution

The fourth proportional to 204,227.87, 281,831.96 and 114,803.87 is: 158,427.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,227.87 : 281,831.96 = 114,803.87 : x
  2. Step 2: Convert to fraction form
    204,227.87/281,831.96 = 114,803.87/x
  3. Step 3: Cross multiply
    204,227.87x = 281,831.96 × 114,803.87
  4. Step 4: Simplify right side
    204,227.87x = 32,355,399,123.67
  5. Step 5: Solve for x
    x = 32,355,399,123.67/204,227.87
  6. Step 6: Final answer
    x = 158,427.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.