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Finding the Fourth Proportional to 209,687.27, 289,380.53 and 157,911.66

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Solution

The fourth proportional to 209,687.27, 289,380.53 and 157,911.66 is: 217,927.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,687.27 : 289,380.53 = 157,911.66 : x
  2. Step 2: Convert to fraction form
    209,687.27/289,380.53 = 157,911.66/x
  3. Step 3: Cross multiply
    209,687.27x = 289,380.53 × 157,911.66
  4. Step 4: Simplify right side
    209,687.27x = 45,696,560,258.76
  5. Step 5: Solve for x
    x = 45,696,560,258.76/209,687.27
  6. Step 6: Final answer
    x = 217,927.21

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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.