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Finding the Fourth Proportional to 192,649.23, 288,892.51 and 57,732.43

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Solution

The fourth proportional to 192,649.23, 288,892.51 and 57,732.43 is: 86,574.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,649.23 : 288,892.51 = 57,732.43 : x
  2. Step 2: Convert to fraction form
    192,649.23/288,892.51 = 57,732.43/x
  3. Step 3: Cross multiply
    192,649.23x = 288,892.51 × 57,732.43
  4. Step 4: Simplify right side
    192,649.23x = 16,678,466,611.10
  5. Step 5: Solve for x
    x = 16,678,466,611.10/192,649.23
  6. Step 6: Final answer
    x = 86,574.27

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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.