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Finding the Fourth Proportional to 133,223.27, 198,863.02 and 116,408

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Solution

The fourth proportional to 133,223.27, 198,863.02 and 116,408 is: 173,762.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,223.27 : 198,863.02 = 116,408 : x
  2. Step 2: Convert to fraction form
    133,223.27/198,863.02 = 116,408/x
  3. Step 3: Cross multiply
    133,223.27x = 198,863.02 × 116,408
  4. Step 4: Simplify right side
    133,223.27x = 23,149,246,432.16
  5. Step 5: Solve for x
    x = 23,149,246,432.16/133,223.27
  6. Step 6: Final answer
    x = 173,762.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.