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Finding the Fourth Proportional to 384,891.05, 577,192.99 and 132,099.81

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Solution

The fourth proportional to 384,891.05, 577,192.99 and 132,099.81 is: 198,100.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,891.05 : 577,192.99 = 132,099.81 : x
  2. Step 2: Convert to fraction form
    384,891.05/577,192.99 = 132,099.81/x
  3. Step 3: Cross multiply
    384,891.05x = 577,192.99 × 132,099.81
  4. Step 4: Simplify right side
    384,891.05x = 76,247,084,312.33
  5. Step 5: Solve for x
    x = 76,247,084,312.33/384,891.05
  6. Step 6: Final answer
    x = 198,100.43

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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.