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Finding the Fourth Proportional to 234,824.40, 352,286.28 and 77,039.64

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Solution

The fourth proportional to 234,824.40, 352,286.28 and 77,039.64 is: 115,575.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,824.40 : 352,286.28 = 77,039.64 : x
  2. Step 2: Convert to fraction form
    234,824.40/352,286.28 = 77,039.64/x
  3. Step 3: Cross multiply
    234,824.40x = 352,286.28 × 77,039.64
  4. Step 4: Simplify right side
    234,824.40x = 27,140,008,188.14
  5. Step 5: Solve for x
    x = 27,140,008,188.14/234,824.40
  6. Step 6: Final answer
    x = 115,575.76

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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.