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Finding the Fourth Proportional to 234,380.34, 351,614.22 and 76,617.42

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Solution

The fourth proportional to 234,380.34, 351,614.22 and 76,617.42 is: 114,940.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,380.34 : 351,614.22 = 76,617.42 : x
  2. Step 2: Convert to fraction form
    234,380.34/351,614.22 = 76,617.42/x
  3. Step 3: Cross multiply
    234,380.34x = 351,614.22 × 76,617.42
  4. Step 4: Simplify right side
    234,380.34x = 26,939,774,371.71
  5. Step 5: Solve for x
    x = 26,939,774,371.71/234,380.34
  6. Step 6: Final answer
    x = 114,940.42

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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.