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Finding the Fourth Proportional to 299,712.20, 450,086.70 and 194,995.40

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Solution

The fourth proportional to 299,712.20, 450,086.70 and 194,995.40 is: 292,830.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,712.20 : 450,086.70 = 194,995.40 : x
  2. Step 2: Convert to fraction form
    299,712.20/450,086.70 = 194,995.40/x
  3. Step 3: Cross multiply
    299,712.20x = 450,086.70 × 194,995.40
  4. Step 4: Simplify right side
    299,712.20x = 87,764,836,101.18
  5. Step 5: Solve for x
    x = 87,764,836,101.18/299,712.20
  6. Step 6: Final answer
    x = 292,830.38

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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.