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Finding the Fourth Proportional to 199,414.56, 299,179.77 and 64,475.76

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Solution

The fourth proportional to 199,414.56, 299,179.77 and 64,475.76 is: 96,732.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,414.56 : 299,179.77 = 64,475.76 : x
  2. Step 2: Convert to fraction form
    199,414.56/299,179.77 = 64,475.76/x
  3. Step 3: Cross multiply
    199,414.56x = 299,179.77 × 64,475.76
  4. Step 4: Simplify right side
    199,414.56x = 19,289,843,047.38
  5. Step 5: Solve for x
    x = 19,289,843,047.38/199,414.56
  6. Step 6: Final answer
    x = 96,732.37

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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.