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Finding the Fourth Proportional to 171,872.20, 257,873.10 and 83,204.20

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Solution

The fourth proportional to 171,872.20, 257,873.10 and 83,204.20 is: 124,837.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,872.20 : 257,873.10 = 83,204.20 : x
  2. Step 2: Convert to fraction form
    171,872.20/257,873.10 = 83,204.20/x
  3. Step 3: Cross multiply
    171,872.20x = 257,873.10 × 83,204.20
  4. Step 4: Simplify right side
    171,872.20x = 21,456,124,987.02
  5. Step 5: Solve for x
    x = 21,456,124,987.02/171,872.20
  6. Step 6: Final answer
    x = 124,837.67

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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.