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Finding the Fourth Proportional to 234,502.28, 351,786.20 and 76,699.28

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Solution

The fourth proportional to 234,502.28, 351,786.20 and 76,699.28 is: 115,059.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,502.28 : 351,786.20 = 76,699.28 : x
  2. Step 2: Convert to fraction form
    234,502.28/351,786.20 = 76,699.28/x
  3. Step 3: Cross multiply
    234,502.28x = 351,786.20 × 76,699.28
  4. Step 4: Simplify right side
    234,502.28x = 26,981,748,253.94
  5. Step 5: Solve for x
    x = 26,981,748,253.94/234,502.28
  6. Step 6: Final answer
    x = 115,059.64

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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.