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Finding the Fourth Proportional to 235,201.82, 352,857.45 and 77,431.64

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Solution

The fourth proportional to 235,201.82, 352,857.45 and 77,431.64 is: 116,165.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,201.82 : 352,857.45 = 77,431.64 : x
  2. Step 2: Convert to fraction form
    235,201.82/352,857.45 = 77,431.64/x
  3. Step 3: Cross multiply
    235,201.82x = 352,857.45 × 77,431.64
  4. Step 4: Simplify right side
    235,201.82x = 27,322,331,039.72
  5. Step 5: Solve for x
    x = 27,322,331,039.72/235,201.82
  6. Step 6: Final answer
    x = 116,165.47

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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.