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Finding the Fourth Proportional to 204,266.34, 281,904.58 and 113,639.38

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Solution

The fourth proportional to 204,266.34, 281,904.58 and 113,639.38 is: 156,831.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,266.34 : 281,904.58 = 113,639.38 : x
  2. Step 2: Convert to fraction form
    204,266.34/281,904.58 = 113,639.38/x
  3. Step 3: Cross multiply
    204,266.34x = 281,904.58 × 113,639.38
  4. Step 4: Simplify right side
    204,266.34x = 32,035,461,690.36
  5. Step 5: Solve for x
    x = 32,035,461,690.36/204,266.34
  6. Step 6: Final answer
    x = 156,831.82

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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.