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Finding the Fourth Proportional to 198,663.24, 297,992.34 and 48,905.40

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Solution

The fourth proportional to 198,663.24, 297,992.34 and 48,905.40 is: 73,357.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,663.24 : 297,992.34 = 48,905.40 : x
  2. Step 2: Convert to fraction form
    198,663.24/297,992.34 = 48,905.40/x
  3. Step 3: Cross multiply
    198,663.24x = 297,992.34 × 48,905.40
  4. Step 4: Simplify right side
    198,663.24x = 14,573,434,584.64
  5. Step 5: Solve for x
    x = 14,573,434,584.64/198,663.24
  6. Step 6: Final answer
    x = 73,357.48

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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.