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Finding the Fourth Proportional to 206,398.94, 284,833.44 and 124,715.86

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Solution

The fourth proportional to 206,398.94, 284,833.44 and 124,715.86 is: 172,109.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,398.94 : 284,833.44 = 124,715.86 : x
  2. Step 2: Convert to fraction form
    206,398.94/284,833.44 = 124,715.86/x
  3. Step 3: Cross multiply
    206,398.94x = 284,833.44 × 124,715.86
  4. Step 4: Simplify right side
    206,398.94x = 35,523,246,714.27
  5. Step 5: Solve for x
    x = 35,523,246,714.27/206,398.94
  6. Step 6: Final answer
    x = 172,109.64

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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.