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Finding the Fourth Proportional to 198,173.37, 297,259.01 and 48,414.50

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Solution

The fourth proportional to 198,173.37, 297,259.01 and 48,414.50 is: 72,621.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,173.37 : 297,259.01 = 48,414.50 : x
  2. Step 2: Convert to fraction form
    198,173.37/297,259.01 = 48,414.50/x
  3. Step 3: Cross multiply
    198,173.37x = 297,259.01 × 48,414.50
  4. Step 4: Simplify right side
    198,173.37x = 14,391,646,339.65
  5. Step 5: Solve for x
    x = 14,391,646,339.65/198,173.37
  6. Step 6: Final answer
    x = 72,621.49

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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.