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Finding the Fourth Proportional to 199,108.40, 298,658.76 and 49,349

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Solution

The fourth proportional to 199,108.40, 298,658.76 and 49,349 is: 74,022.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,108.40 : 298,658.76 = 49,349 : x
  2. Step 2: Convert to fraction form
    199,108.40/298,658.76 = 49,349/x
  3. Step 3: Cross multiply
    199,108.40x = 298,658.76 × 49,349
  4. Step 4: Simplify right side
    199,108.40x = 14,738,511,147.24
  5. Step 5: Solve for x
    x = 14,738,511,147.24/199,108.40
  6. Step 6: Final answer
    x = 74,022.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.