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Finding the Fourth Proportional to 206,359.92, 284,837.52 and 134,751.12

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Solution

The fourth proportional to 206,359.92, 284,837.52 and 134,751.12 is: 185,996.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,359.92 : 284,837.52 = 134,751.12 : x
  2. Step 2: Convert to fraction form
    206,359.92/284,837.52 = 134,751.12/x
  3. Step 3: Cross multiply
    206,359.92x = 284,837.52 × 134,751.12
  4. Step 4: Simplify right side
    206,359.92x = 38,382,174,838.02
  5. Step 5: Solve for x
    x = 38,382,174,838.02/206,359.92
  6. Step 6: Final answer
    x = 185,996.27

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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.