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Finding the Fourth Proportional to 206,431.04, 284,879.12 and 117,007.04

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Solution

The fourth proportional to 206,431.04, 284,879.12 and 117,007.04 is: 161,472.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,431.04 : 284,879.12 = 117,007.04 : x
  2. Step 2: Convert to fraction form
    206,431.04/284,879.12 = 117,007.04/x
  3. Step 3: Cross multiply
    206,431.04x = 284,879.12 × 117,007.04
  4. Step 4: Simplify right side
    206,431.04x = 33,332,862,589.00
  5. Step 5: Solve for x
    x = 33,332,862,589.00/206,431.04
  6. Step 6: Final answer
    x = 161,472.14

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1.5x scale

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.