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Finding the Fourth Proportional to 198,524.62, 297,798.28 and 56,358.77

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Solution

The fourth proportional to 198,524.62, 297,798.28 and 56,358.77 is: 84,541.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,524.62 : 297,798.28 = 56,358.77 : x
  2. Step 2: Convert to fraction form
    198,524.62/297,798.28 = 56,358.77/x
  3. Step 3: Cross multiply
    198,524.62x = 297,798.28 × 56,358.77
  4. Step 4: Simplify right side
    198,524.62x = 16,783,544,487.12
  5. Step 5: Solve for x
    x = 16,783,544,487.12/198,524.62
  6. Step 6: Final answer
    x = 84,541.38

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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.