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Finding the Fourth Proportional to 198,855.39, 298,283.69 and 49,095.69

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Solution

The fourth proportional to 198,855.39, 298,283.69 and 49,095.69 is: 73,643.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,855.39 : 298,283.69 = 49,095.69 : x
  2. Step 2: Convert to fraction form
    198,855.39/298,283.69 = 49,095.69/x
  3. Step 3: Cross multiply
    198,855.39x = 298,283.69 × 49,095.69
  4. Step 4: Simplify right side
    198,855.39x = 14,644,443,576.30
  5. Step 5: Solve for x
    x = 14,644,443,576.30/198,855.39
  6. Step 6: Final answer
    x = 73,643.68

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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.