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Finding the Fourth Proportional to 234,393.56, 351,606.74 and 116,033.12

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Solution

The fourth proportional to 234,393.56, 351,606.74 and 116,033.12 is: 174,057.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,393.56 : 351,606.74 = 116,033.12 : x
  2. Step 2: Convert to fraction form
    234,393.56/351,606.74 = 116,033.12/x
  3. Step 3: Cross multiply
    234,393.56x = 351,606.74 × 116,033.12
  4. Step 4: Simplify right side
    234,393.56x = 40,798,024,717.03
  5. Step 5: Solve for x
    x = 40,798,024,717.03/234,393.56
  6. Step 6: Final answer
    x = 174,057.79

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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.