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Finding the Fourth Proportional to 100,000.80, 149,828.40 and 82,375.20

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Solution

The fourth proportional to 100,000.80, 149,828.40 and 82,375.20 is: 123,420.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,000.80 : 149,828.40 = 82,375.20 : x
  2. Step 2: Convert to fraction form
    100,000.80/149,828.40 = 82,375.20/x
  3. Step 3: Cross multiply
    100,000.80x = 149,828.40 × 82,375.20
  4. Step 4: Simplify right side
    100,000.80x = 12,342,144,415.68
  5. Step 5: Solve for x
    x = 12,342,144,415.68/100,000.80
  6. Step 6: Final answer
    x = 123,420.46

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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.