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Finding the Fourth Proportional to 199,665, 299,541.24 and 75,006

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Solution

The fourth proportional to 199,665, 299,541.24 and 75,006 is: 112,525.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,665 : 299,541.24 = 75,006 : x
  2. Step 2: Convert to fraction form
    199,665/299,541.24 = 75,006/x
  3. Step 3: Cross multiply
    199,665x = 299,541.24 × 75,006
  4. Step 4: Simplify right side
    199,665x = 22,467,390,247.44
  5. Step 5: Solve for x
    x = 22,467,390,247.44/199,665
  6. Step 6: Final answer
    x = 112,525.43

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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.