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Finding the Fourth Proportional to 120,894.40, 181,276.80 and 50,694.40

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Solution

The fourth proportional to 120,894.40, 181,276.80 and 50,694.40 is: 76,014.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,894.40 : 181,276.80 = 50,694.40 : x
  2. Step 2: Convert to fraction form
    120,894.40/181,276.80 = 50,694.40/x
  3. Step 3: Cross multiply
    120,894.40x = 181,276.80 × 50,694.40
  4. Step 4: Simplify right side
    120,894.40x = 9,189,718,609.92
  5. Step 5: Solve for x
    x = 9,189,718,609.92/120,894.40
  6. Step 6: Final answer
    x = 76,014.43

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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.