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Finding the Fourth Proportional to 293,927, 405,622.14 and 159,793.88

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Solution

The fourth proportional to 293,927, 405,622.14 and 159,793.88 is: 220,517.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,927 : 405,622.14 = 159,793.88 : x
  2. Step 2: Convert to fraction form
    293,927/405,622.14 = 159,793.88/x
  3. Step 3: Cross multiply
    293,927x = 405,622.14 × 159,793.88
  4. Step 4: Simplify right side
    293,927x = 64,815,935,564.50
  5. Step 5: Solve for x
    x = 64,815,935,564.50/293,927
  6. Step 6: Final answer
    x = 220,517.12

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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.