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Finding the Fourth Proportional to 171,896.20, 257,909.10 and 83,228.20

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Solution

The fourth proportional to 171,896.20, 257,909.10 and 83,228.20 is: 124,873.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,896.20 : 257,909.10 = 83,228.20 : x
  2. Step 2: Convert to fraction form
    171,896.20/257,909.10 = 83,228.20/x
  3. Step 3: Cross multiply
    171,896.20x = 257,909.10 × 83,228.20
  4. Step 4: Simplify right side
    171,896.20x = 21,465,310,156.62
  5. Step 5: Solve for x
    x = 21,465,310,156.62/171,896.20
  6. Step 6: Final answer
    x = 124,873.67

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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.