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Finding the Fourth Proportional to 133,216.20, 199,824.30 and 71,008.20

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Solution

The fourth proportional to 133,216.20, 199,824.30 and 71,008.20 is: 106,512.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,216.20 : 199,824.30 = 71,008.20 : x
  2. Step 2: Convert to fraction form
    133,216.20/199,824.30 = 71,008.20/x
  3. Step 3: Cross multiply
    133,216.20x = 199,824.30 × 71,008.20
  4. Step 4: Simplify right side
    133,216.20x = 14,189,163,859.26
  5. Step 5: Solve for x
    x = 14,189,163,859.26/133,216.20
  6. Step 6: Final answer
    x = 106,512.30

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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.