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Finding the Fourth Proportional to 199,277.10, 298,915.65 and 74,601.90

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Solution

The fourth proportional to 199,277.10, 298,915.65 and 74,601.90 is: 111,902.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,277.10 : 298,915.65 = 74,601.90 : x
  2. Step 2: Convert to fraction form
    199,277.10/298,915.65 = 74,601.90/x
  3. Step 3: Cross multiply
    199,277.10x = 298,915.65 × 74,601.90
  4. Step 4: Simplify right side
    199,277.10x = 22,299,675,429.74
  5. Step 5: Solve for x
    x = 22,299,675,429.74/199,277.10
  6. Step 6: Final answer
    x = 111,902.85

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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.