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Finding the Fourth Proportional to 223,175.76, 334,618.14 and 80,994.22

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Solution

The fourth proportional to 223,175.76, 334,618.14 and 80,994.22 is: 121,438.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,175.76 : 334,618.14 = 80,994.22 : x
  2. Step 2: Convert to fraction form
    223,175.76/334,618.14 = 80,994.22/x
  3. Step 3: Cross multiply
    223,175.76x = 334,618.14 × 80,994.22
  4. Step 4: Simplify right side
    223,175.76x = 27,102,135,247.15
  5. Step 5: Solve for x
    x = 27,102,135,247.15/223,175.76
  6. Step 6: Final answer
    x = 121,438.53

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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.