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Finding the Fourth Proportional to 80,202, 120,303 and 24,798

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Solution

The fourth proportional to 80,202, 120,303 and 24,798 is: 37,197

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,202 : 120,303 = 24,798 : x
  2. Step 2: Convert to fraction form
    80,202/120,303 = 24,798/x
  3. Step 3: Cross multiply
    80,202x = 120,303 × 24,798
  4. Step 4: Simplify right side
    80,202x = 2,983,273,794
  5. Step 5: Solve for x
    x = 2,983,273,794/80,202
  6. Step 6: Final answer
    x = 37,197

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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.