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Finding the Fourth Proportional to 337,156.14, 505,983.08 and 159,662.86

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Solution

The fourth proportional to 337,156.14, 505,983.08 and 159,662.86 is: 239,612.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,156.14 : 505,983.08 = 159,662.86 : x
  2. Step 2: Convert to fraction form
    337,156.14/505,983.08 = 159,662.86/x
  3. Step 3: Cross multiply
    337,156.14x = 505,983.08 × 159,662.86
  4. Step 4: Simplify right side
    337,156.14x = 80,786,705,664.41
  5. Step 5: Solve for x
    x = 80,786,705,664.41/337,156.14
  6. Step 6: Final answer
    x = 239,612.14

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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.