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Finding the Fourth Proportional to 198,598.20, 297,866.51 and 56,450.09

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Solution

The fourth proportional to 198,598.20, 297,866.51 and 56,450.09 is: 84,666.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,598.20 : 297,866.51 = 56,450.09 : x
  2. Step 2: Convert to fraction form
    198,598.20/297,866.51 = 56,450.09/x
  3. Step 3: Cross multiply
    198,598.20x = 297,866.51 × 56,450.09
  4. Step 4: Simplify right side
    198,598.20x = 16,814,589,525.90
  5. Step 5: Solve for x
    x = 16,814,589,525.90/198,598.20
  6. Step 6: Final answer
    x = 84,666.37

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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.