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Finding the Fourth Proportional to 199,900.20, 299,850.30 and 52,156.20

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Solution

The fourth proportional to 199,900.20, 299,850.30 and 52,156.20 is: 78,234.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,900.20 : 299,850.30 = 52,156.20 : x
  2. Step 2: Convert to fraction form
    199,900.20/299,850.30 = 52,156.20/x
  3. Step 3: Cross multiply
    199,900.20x = 299,850.30 × 52,156.20
  4. Step 4: Simplify right side
    199,900.20x = 15,639,052,216.86
  5. Step 5: Solve for x
    x = 15,639,052,216.86/199,900.20
  6. Step 6: Final answer
    x = 78,234.30

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1.5x scale

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.