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Finding the Fourth Proportional to 204,393.42, 282,076.17 and 113,749.11

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Solution

The fourth proportional to 204,393.42, 282,076.17 and 113,749.11 is: 156,981.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,393.42 : 282,076.17 = 113,749.11 : x
  2. Step 2: Convert to fraction form
    204,393.42/282,076.17 = 113,749.11/x
  3. Step 3: Cross multiply
    204,393.42x = 282,076.17 × 113,749.11
  4. Step 4: Simplify right side
    204,393.42x = 32,085,913,289.71
  5. Step 5: Solve for x
    x = 32,085,913,289.71/204,393.42
  6. Step 6: Final answer
    x = 156,981.15

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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.