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Finding the Fourth Proportional to 337,159.14, 505,987.58 and 159,665.86

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Solution

The fourth proportional to 337,159.14, 505,987.58 and 159,665.86 is: 239,616.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,159.14 : 505,987.58 = 159,665.86 : x
  2. Step 2: Convert to fraction form
    337,159.14/505,987.58 = 159,665.86/x
  3. Step 3: Cross multiply
    337,159.14x = 505,987.58 × 159,665.86
  4. Step 4: Simplify right side
    337,159.14x = 80,788,942,110.02
  5. Step 5: Solve for x
    x = 80,788,942,110.02/337,159.14
  6. Step 6: Final answer
    x = 239,616.65

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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.