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Finding the Fourth Proportional to 171,225.74, 256,882.43 and 100,208.18

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Solution

The fourth proportional to 171,225.74, 256,882.43 and 100,208.18 is: 150,337.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,225.74 : 256,882.43 = 100,208.18 : x
  2. Step 2: Convert to fraction form
    171,225.74/256,882.43 = 100,208.18/x
  3. Step 3: Cross multiply
    171,225.74x = 256,882.43 × 100,208.18
  4. Step 4: Simplify right side
    171,225.74x = 25,741,720,283.24
  5. Step 5: Solve for x
    x = 25,741,720,283.24/171,225.74
  6. Step 6: Final answer
    x = 150,337.91

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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.