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Finding the Fourth Proportional to 301,204.39, 415,660.37 and 165,234.86

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Solution

The fourth proportional to 301,204.39, 415,660.37 and 165,234.86 is: 228,023.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,204.39 : 415,660.37 = 165,234.86 : x
  2. Step 2: Convert to fraction form
    301,204.39/415,660.37 = 165,234.86/x
  3. Step 3: Cross multiply
    301,204.39x = 415,660.37 × 165,234.86
  4. Step 4: Simplify right side
    301,204.39x = 68,681,583,044.50
  5. Step 5: Solve for x
    x = 68,681,583,044.50/301,204.39
  6. Step 6: Final answer
    x = 228,023.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.