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Finding the Fourth Proportional to 198,284.38, 273,630.53 and 107,638.40

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Solution

The fourth proportional to 198,284.38, 273,630.53 and 107,638.40 is: 148,539.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,284.38 : 273,630.53 = 107,638.40 : x
  2. Step 2: Convert to fraction form
    198,284.38/273,630.53 = 107,638.40/x
  3. Step 3: Cross multiply
    198,284.38x = 273,630.53 × 107,638.40
  4. Step 4: Simplify right side
    198,284.38x = 29,453,152,440.35
  5. Step 5: Solve for x
    x = 29,453,152,440.35/198,284.38
  6. Step 6: Final answer
    x = 148,539.95

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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.