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Finding the Fourth Proportional to 198,524.35, 297,797.88 and 56,358.51

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Solution

The fourth proportional to 198,524.35, 297,797.88 and 56,358.51 is: 84,540.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,524.35 : 297,797.88 = 56,358.51 : x
  2. Step 2: Convert to fraction form
    198,524.35/297,797.88 = 56,358.51/x
  3. Step 3: Cross multiply
    198,524.35x = 297,797.88 × 56,358.51
  4. Step 4: Simplify right side
    198,524.35x = 16,783,443,027.18
  5. Step 5: Solve for x
    x = 16,783,443,027.18/198,524.35
  6. Step 6: Final answer
    x = 84,540.98

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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.