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Finding the Fourth Proportional to 234,107.76, 351,217.56 and 76,336.36

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Solution

The fourth proportional to 234,107.76, 351,217.56 and 76,336.36 is: 114,522.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,107.76 : 351,217.56 = 76,336.36 : x
  2. Step 2: Convert to fraction form
    234,107.76/351,217.56 = 76,336.36/x
  3. Step 3: Cross multiply
    234,107.76x = 351,217.56 × 76,336.36
  4. Step 4: Simplify right side
    234,107.76x = 26,810,670,098.48
  5. Step 5: Solve for x
    x = 26,810,670,098.48/234,107.76
  6. Step 6: Final answer
    x = 114,522.77

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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.