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Finding the Fourth Proportional to 102,967.70, 154,451.55 and 80,849.30

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Solution

The fourth proportional to 102,967.70, 154,451.55 and 80,849.30 is: 121,273.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,967.70 : 154,451.55 = 80,849.30 : x
  2. Step 2: Convert to fraction form
    102,967.70/154,451.55 = 80,849.30/x
  3. Step 3: Cross multiply
    102,967.70x = 154,451.55 × 80,849.30
  4. Step 4: Simplify right side
    102,967.70x = 12,487,299,701.42
  5. Step 5: Solve for x
    x = 12,487,299,701.42/102,967.70
  6. Step 6: Final answer
    x = 121,273.95

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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.