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Finding the Fourth Proportional to 229,433.41, 344,369.02 and 140,859.91

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Solution

The fourth proportional to 229,433.41, 344,369.02 and 140,859.91 is: 211,424.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,433.41 : 344,369.02 = 140,859.91 : x
  2. Step 2: Convert to fraction form
    229,433.41/344,369.02 = 140,859.91/x
  3. Step 3: Cross multiply
    229,433.41x = 344,369.02 × 140,859.91
  4. Step 4: Simplify right side
    229,433.41x = 48,507,789,163.99
  5. Step 5: Solve for x
    x = 48,507,789,163.99/229,433.41
  6. Step 6: Final answer
    x = 211,424.26

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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.