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Finding the Fourth Proportional to 278,165.64, 383,817.26 and 163,463

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Solution

The fourth proportional to 278,165.64, 383,817.26 and 163,463 is: 225,548.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,165.64 : 383,817.26 = 163,463 : x
  2. Step 2: Convert to fraction form
    278,165.64/383,817.26 = 163,463/x
  3. Step 3: Cross multiply
    278,165.64x = 383,817.26 × 163,463
  4. Step 4: Simplify right side
    278,165.64x = 62,739,920,771.38
  5. Step 5: Solve for x
    x = 62,739,920,771.38/278,165.64
  6. Step 6: Final answer
    x = 225,548.78

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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.