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Finding the Fourth Proportional to 206,244.64, 284,608.08 and 116,821.28

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Solution

The fourth proportional to 206,244.64, 284,608.08 and 116,821.28 is: 161,207.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,244.64 : 284,608.08 = 116,821.28 : x
  2. Step 2: Convert to fraction form
    206,244.64/284,608.08 = 116,821.28/x
  3. Step 3: Cross multiply
    206,244.64x = 284,608.08 × 116,821.28
  4. Step 4: Simplify right side
    206,244.64x = 33,248,280,203.94
  5. Step 5: Solve for x
    x = 33,248,280,203.94/206,244.64
  6. Step 6: Final answer
    x = 161,207.97

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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.