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Finding the Fourth Proportional to 362,149.83, 499,757.16 and 201,000.72

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Solution

The fourth proportional to 362,149.83, 499,757.16 and 201,000.72 is: 277,375.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,149.83 : 499,757.16 = 201,000.72 : x
  2. Step 2: Convert to fraction form
    362,149.83/499,757.16 = 201,000.72/x
  3. Step 3: Cross multiply
    362,149.83x = 499,757.16 × 201,000.72
  4. Step 4: Simplify right side
    362,149.83x = 100,451,548,985.16
  5. Step 5: Solve for x
    x = 100,451,548,985.16/362,149.83
  6. Step 6: Final answer
    x = 277,375.66

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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.