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Finding the Fourth Proportional to 198,173.63, 297,279.90 and 56,019.98

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Solution

The fourth proportional to 198,173.63, 297,279.90 and 56,019.98 is: 84,035.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,173.63 : 297,279.90 = 56,019.98 : x
  2. Step 2: Convert to fraction form
    198,173.63/297,279.90 = 56,019.98/x
  3. Step 3: Cross multiply
    198,173.63x = 297,279.90 × 56,019.98
  4. Step 4: Simplify right side
    198,173.63x = 16,653,614,795.60
  5. Step 5: Solve for x
    x = 16,653,614,795.60/198,173.63
  6. Step 6: Final answer
    x = 84,035.47

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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.