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Finding the Fourth Proportional to 206,245.64, 284,609.46 and 116,822.28

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Solution

The fourth proportional to 206,245.64, 284,609.46 and 116,822.28 is: 161,209.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,245.64 : 284,609.46 = 116,822.28 : x
  2. Step 2: Convert to fraction form
    206,245.64/284,609.46 = 116,822.28/x
  3. Step 3: Cross multiply
    206,245.64x = 284,609.46 × 116,822.28
  4. Step 4: Simplify right side
    206,245.64x = 33,248,726,026.77
  5. Step 5: Solve for x
    x = 33,248,726,026.77/206,245.64
  6. Step 6: Final answer
    x = 161,209.35

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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.