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Finding the Fourth Proportional to 110,825.80, 166,238.70 and 77,000.20

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Solution

The fourth proportional to 110,825.80, 166,238.70 and 77,000.20 is: 115,500.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,825.80 : 166,238.70 = 77,000.20 : x
  2. Step 2: Convert to fraction form
    110,825.80/166,238.70 = 77,000.20/x
  3. Step 3: Cross multiply
    110,825.80x = 166,238.70 × 77,000.20
  4. Step 4: Simplify right side
    110,825.80x = 12,800,413,147.74
  5. Step 5: Solve for x
    x = 12,800,413,147.74/110,825.80
  6. Step 6: Final answer
    x = 115,500.30

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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.