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Finding the Fourth Proportional to 206,325.78, 284,731.11 and 134,663.46

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Solution

The fourth proportional to 206,325.78, 284,731.11 and 134,663.46 is: 185,836.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,325.78 : 284,731.11 = 134,663.46 : x
  2. Step 2: Convert to fraction form
    206,325.78/284,731.11 = 134,663.46/x
  3. Step 3: Cross multiply
    206,325.78x = 284,731.11 × 134,663.46
  4. Step 4: Simplify right side
    206,325.78x = 38,342,876,442.24
  5. Step 5: Solve for x
    x = 38,342,876,442.24/206,325.78
  6. Step 6: Final answer
    x = 185,836.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.