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Finding the Fourth Proportional to 337,992, 507,232.23 and 132,857.22

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Solution

The fourth proportional to 337,992, 507,232.23 and 132,857.22 is: 199,381.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,992 : 507,232.23 = 132,857.22 : x
  2. Step 2: Convert to fraction form
    337,992/507,232.23 = 132,857.22/x
  3. Step 3: Cross multiply
    337,992x = 507,232.23 × 132,857.22
  4. Step 4: Simplify right side
    337,992x = 67,389,463,972.20
  5. Step 5: Solve for x
    x = 67,389,463,972.20/337,992
  6. Step 6: Final answer
    x = 199,381.83

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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.