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Finding the Fourth Proportional to 395,500.82, 593,129.97 and 142,750.44

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Solution

The fourth proportional to 395,500.82, 593,129.97 and 142,750.44 is: 214,081.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,500.82 : 593,129.97 = 142,750.44 : x
  2. Step 2: Convert to fraction form
    395,500.82/593,129.97 = 142,750.44/x
  3. Step 3: Cross multiply
    395,500.82x = 593,129.97 × 142,750.44
  4. Step 4: Simplify right side
    395,500.82x = 84,669,564,194.69
  5. Step 5: Solve for x
    x = 84,669,564,194.69/395,500.82
  6. Step 6: Final answer
    x = 214,081.90

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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.