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Finding the Fourth Proportional to 206,142.92, 285,049.86 and 163,627.64

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Solution

The fourth proportional to 206,142.92, 285,049.86 and 163,627.64 is: 226,260.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,142.92 : 285,049.86 = 163,627.64 : x
  2. Step 2: Convert to fraction form
    206,142.92/285,049.86 = 163,627.64/x
  3. Step 3: Cross multiply
    206,142.92x = 285,049.86 × 163,627.64
  4. Step 4: Simplify right side
    206,142.92x = 46,642,035,874.13
  5. Step 5: Solve for x
    x = 46,642,035,874.13/206,142.92
  6. Step 6: Final answer
    x = 226,260.67

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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.