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Finding the Fourth Proportional to 199,818.77, 299,469.79 and 149,504.10

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Solution

The fourth proportional to 199,818.77, 299,469.79 and 149,504.10 is: 224,062.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,818.77 : 299,469.79 = 149,504.10 : x
  2. Step 2: Convert to fraction form
    199,818.77/299,469.79 = 149,504.10/x
  3. Step 3: Cross multiply
    199,818.77x = 299,469.79 × 149,504.10
  4. Step 4: Simplify right side
    199,818.77x = 44,771,961,057.38
  5. Step 5: Solve for x
    x = 44,771,961,057.38/199,818.77
  6. Step 6: Final answer
    x = 224,062.84

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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.