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Finding the Fourth Proportional to 382,145.36, 573,217.36 and 101,662.61

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Solution

The fourth proportional to 382,145.36, 573,217.36 and 101,662.61 is: 152,493.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,145.36 : 573,217.36 = 101,662.61 : x
  2. Step 2: Convert to fraction form
    382,145.36/573,217.36 = 101,662.61/x
  3. Step 3: Cross multiply
    382,145.36x = 573,217.36 × 101,662.61
  4. Step 4: Simplify right side
    382,145.36x = 58,274,769,794.67
  5. Step 5: Solve for x
    x = 58,274,769,794.67/382,145.36
  6. Step 6: Final answer
    x = 152,493.73

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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.