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Finding the Fourth Proportional to 278,143.38, 383,901.39 and 163,435.50

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Solution

The fourth proportional to 278,143.38, 383,901.39 and 163,435.50 is: 225,578.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,143.38 : 383,901.39 = 163,435.50 : x
  2. Step 2: Convert to fraction form
    278,143.38/383,901.39 = 163,435.50/x
  3. Step 3: Cross multiply
    278,143.38x = 383,901.39 × 163,435.50
  4. Step 4: Simplify right side
    278,143.38x = 62,743,115,625.35
  5. Step 5: Solve for x
    x = 62,743,115,625.35/278,143.38
  6. Step 6: Final answer
    x = 225,578.32

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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.