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Finding the Fourth Proportional to 204,120, 281,695.20 and 113,477.46

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Solution

The fourth proportional to 204,120, 281,695.20 and 113,477.46 is: 156,604.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,120 : 281,695.20 = 113,477.46 : x
  2. Step 2: Convert to fraction form
    204,120/281,695.20 = 113,477.46/x
  3. Step 3: Cross multiply
    204,120x = 281,695.20 × 113,477.46
  4. Step 4: Simplify right side
    204,120x = 31,966,055,790.19
  5. Step 5: Solve for x
    x = 31,966,055,790.19/204,120
  6. Step 6: Final answer
    x = 156,604.23

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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.