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Finding the Fourth Proportional to 206,006.64, 284,324.76 and 116,582.64

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Solution

The fourth proportional to 206,006.64, 284,324.76 and 116,582.64 is: 160,904.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,006.64 : 284,324.76 = 116,582.64 : x
  2. Step 2: Convert to fraction form
    206,006.64/284,324.76 = 116,582.64/x
  3. Step 3: Cross multiply
    206,006.64x = 284,324.76 × 116,582.64
  4. Step 4: Simplify right side
    206,006.64x = 33,147,331,138.17
  5. Step 5: Solve for x
    x = 33,147,331,138.17/206,006.64
  6. Step 6: Final answer
    x = 160,904.19

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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.