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Finding the Fourth Proportional to 278,144.38, 383,902.77 and 163,436.50

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Solution

The fourth proportional to 278,144.38, 383,902.77 and 163,436.50 is: 225,579.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,144.38 : 383,902.77 = 163,436.50 : x
  2. Step 2: Convert to fraction form
    278,144.38/383,902.77 = 163,436.50/x
  3. Step 3: Cross multiply
    278,144.38x = 383,902.77 × 163,436.50
  4. Step 4: Simplify right side
    278,144.38x = 62,743,725,069.11
  5. Step 5: Solve for x
    x = 62,743,725,069.11/278,144.38
  6. Step 6: Final answer
    x = 225,579.70

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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.