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Finding the Fourth Proportional to 198,505.50, 273,937.59 and 109,081.50

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Solution

The fourth proportional to 198,505.50, 273,937.59 and 109,081.50 is: 150,532.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,505.50 : 273,937.59 = 109,081.50 : x
  2. Step 2: Convert to fraction form
    198,505.50/273,937.59 = 109,081.50/x
  3. Step 3: Cross multiply
    198,505.50x = 273,937.59 × 109,081.50
  4. Step 4: Simplify right side
    198,505.50x = 29,881,523,223.59
  5. Step 5: Solve for x
    x = 29,881,523,223.59/198,505.50
  6. Step 6: Final answer
    x = 150,532.47

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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.