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Finding the Fourth Proportional to 189,785.54, 261,734.38 and 157,468.97

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Solution

The fourth proportional to 189,785.54, 261,734.38 and 157,468.97 is: 217,166.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,785.54 : 261,734.38 = 157,468.97 : x
  2. Step 2: Convert to fraction form
    189,785.54/261,734.38 = 157,468.97/x
  3. Step 3: Cross multiply
    189,785.54x = 261,734.38 × 157,468.97
  4. Step 4: Simplify right side
    189,785.54x = 41,215,041,923.52
  5. Step 5: Solve for x
    x = 41,215,041,923.52/189,785.54
  6. Step 6: Final answer
    x = 217,166.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.