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Finding the Fourth Proportional to 171,197, 256,912.14 and 60,389

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Solution

The fourth proportional to 171,197, 256,912.14 and 60,389 is: 90,624.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,197 : 256,912.14 = 60,389 : x
  2. Step 2: Convert to fraction form
    171,197/256,912.14 = 60,389/x
  3. Step 3: Cross multiply
    171,197x = 256,912.14 × 60,389
  4. Step 4: Simplify right side
    171,197x = 15,514,667,222.46
  5. Step 5: Solve for x
    x = 15,514,667,222.46/171,197
  6. Step 6: Final answer
    x = 90,624.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.