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Finding the Fourth Proportional to 164,859.83, 246,902.21 and 80,355.16

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Solution

The fourth proportional to 164,859.83, 246,902.21 and 80,355.16 is: 120,343.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,859.83 : 246,902.21 = 80,355.16 : x
  2. Step 2: Convert to fraction form
    164,859.83/246,902.21 = 80,355.16/x
  3. Step 3: Cross multiply
    164,859.83x = 246,902.21 × 80,355.16
  4. Step 4: Simplify right side
    164,859.83x = 19,839,864,952.62
  5. Step 5: Solve for x
    x = 19,839,864,952.62/164,859.83
  6. Step 6: Final answer
    x = 120,343.84

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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.