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Finding the Fourth Proportional to 234,917.32, 352,419.70 and 106,842.82

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Solution

The fourth proportional to 234,917.32, 352,419.70 and 106,842.82 is: 160,284.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,917.32 : 352,419.70 = 106,842.82 : x
  2. Step 2: Convert to fraction form
    234,917.32/352,419.70 = 106,842.82/x
  3. Step 3: Cross multiply
    234,917.32x = 352,419.70 × 106,842.82
  4. Step 4: Simplify right side
    234,917.32x = 37,653,514,571.55
  5. Step 5: Solve for x
    x = 37,653,514,571.55/234,917.32
  6. Step 6: Final answer
    x = 160,284.11

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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.