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Finding the Fourth Proportional to 206,447.22, 284,956.56 and 133,847.46

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Solution

The fourth proportional to 206,447.22, 284,956.56 and 133,847.46 is: 184,748.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,447.22 : 284,956.56 = 133,847.46 : x
  2. Step 2: Convert to fraction form
    206,447.22/284,956.56 = 133,847.46/x
  3. Step 3: Cross multiply
    206,447.22x = 284,956.56 × 133,847.46
  4. Step 4: Simplify right side
    206,447.22x = 38,140,711,766.34
  5. Step 5: Solve for x
    x = 38,140,711,766.34/206,447.22
  6. Step 6: Final answer
    x = 184,748.00

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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.