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Finding the Fourth Proportional to 199,914.30, 299,762.10 and 81,451.80

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Solution

The fourth proportional to 199,914.30, 299,762.10 and 81,451.80 is: 122,133.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,914.30 : 299,762.10 = 81,451.80 : x
  2. Step 2: Convert to fraction form
    199,914.30/299,762.10 = 81,451.80/x
  3. Step 3: Cross multiply
    199,914.30x = 299,762.10 × 81,451.80
  4. Step 4: Simplify right side
    199,914.30x = 24,416,162,616.78
  5. Step 5: Solve for x
    x = 24,416,162,616.78/199,914.30
  6. Step 6: Final answer
    x = 122,133.15

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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.