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Finding the Fourth Proportional to 171,000.10, 256,500.15 and 100,141.30

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Solution

The fourth proportional to 171,000.10, 256,500.15 and 100,141.30 is: 150,211.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,000.10 : 256,500.15 = 100,141.30 : x
  2. Step 2: Convert to fraction form
    171,000.10/256,500.15 = 100,141.30/x
  3. Step 3: Cross multiply
    171,000.10x = 256,500.15 × 100,141.30
  4. Step 4: Simplify right side
    171,000.10x = 25,686,258,471.20
  5. Step 5: Solve for x
    x = 25,686,258,471.20/171,000.10
  6. Step 6: Final answer
    x = 150,211.95

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1.5x scale

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.