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Finding the Fourth Proportional to 198,281.86, 297,422.95 and 163,147.66

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Solution

The fourth proportional to 198,281.86, 297,422.95 and 163,147.66 is: 244,721.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,281.86 : 297,422.95 = 163,147.66 : x
  2. Step 2: Convert to fraction form
    198,281.86/297,422.95 = 163,147.66/x
  3. Step 3: Cross multiply
    198,281.86x = 297,422.95 × 163,147.66
  4. Step 4: Simplify right side
    198,281.86x = 48,523,858,322.80
  5. Step 5: Solve for x
    x = 48,523,858,322.80/198,281.86
  6. Step 6: Final answer
    x = 244,721.62

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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.