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Finding the Fourth Proportional to 234,468.90, 351,736.14 and 76,709.76

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Solution

The fourth proportional to 234,468.90, 351,736.14 and 76,709.76 is: 115,075.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,468.90 : 351,736.14 = 76,709.76 : x
  2. Step 2: Convert to fraction form
    234,468.90/351,736.14 = 76,709.76/x
  3. Step 3: Cross multiply
    234,468.90x = 351,736.14 × 76,709.76
  4. Step 4: Simplify right side
    234,468.90x = 26,981,594,882.73
  5. Step 5: Solve for x
    x = 26,981,594,882.73/234,468.90
  6. Step 6: Final answer
    x = 115,075.37

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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.