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Finding the Fourth Proportional to 209,695.14, 289,391.40 and 157,919.54

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Solution

The fourth proportional to 209,695.14, 289,391.40 and 157,919.54 is: 217,938.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,695.14 : 289,391.40 = 157,919.54 : x
  2. Step 2: Convert to fraction form
    209,695.14/289,391.40 = 157,919.54/x
  3. Step 3: Cross multiply
    209,695.14x = 289,391.40 × 157,919.54
  4. Step 4: Simplify right side
    209,695.14x = 45,700,555,321.00
  5. Step 5: Solve for x
    x = 45,700,555,321.00/209,695.14
  6. Step 6: Final answer
    x = 217,938.08

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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.