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Finding the Fourth Proportional to 198,794.42, 298,256.43 and 93,624.02

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Solution

The fourth proportional to 198,794.42, 298,256.43 and 93,624.02 is: 140,466.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,794.42 : 298,256.43 = 93,624.02 : x
  2. Step 2: Convert to fraction form
    198,794.42/298,256.43 = 93,624.02/x
  3. Step 3: Cross multiply
    198,794.42x = 298,256.43 × 93,624.02
  4. Step 4: Simplify right side
    198,794.42x = 27,923,965,967.45
  5. Step 5: Solve for x
    x = 27,923,965,967.45/198,794.42
  6. Step 6: Final answer
    x = 140,466.55

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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.