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Finding the Fourth Proportional to 209,695.39, 289,391.75 and 157,919.79

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Solution

The fourth proportional to 209,695.39, 289,391.75 and 157,919.79 is: 217,938.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,695.39 : 289,391.75 = 157,919.79 : x
  2. Step 2: Convert to fraction form
    209,695.39/289,391.75 = 157,919.79/x
  3. Step 3: Cross multiply
    209,695.39x = 289,391.75 × 157,919.79
  4. Step 4: Simplify right side
    209,695.39x = 45,700,684,387.73
  5. Step 5: Solve for x
    x = 45,700,684,387.73/209,695.39
  6. Step 6: Final answer
    x = 217,938.43

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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.