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Finding the Fourth Proportional to 80,205.20, 120,307.80 and 24,801.20

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Solution

The fourth proportional to 80,205.20, 120,307.80 and 24,801.20 is: 37,201.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,205.20 : 120,307.80 = 24,801.20 : x
  2. Step 2: Convert to fraction form
    80,205.20/120,307.80 = 24,801.20/x
  3. Step 3: Cross multiply
    80,205.20x = 120,307.80 × 24,801.20
  4. Step 4: Simplify right side
    80,205.20x = 2,983,777,207.82
  5. Step 5: Solve for x
    x = 2,983,777,207.82/80,205.20
  6. Step 6: Final answer
    x = 37,201.79

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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.