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Finding the Fourth Proportional to 159,904.21, 239,593.87 and 54,665.77

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Solution

The fourth proportional to 159,904.21, 239,593.87 and 54,665.77 is: 81,908.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,904.21 : 239,593.87 = 54,665.77 : x
  2. Step 2: Convert to fraction form
    159,904.21/239,593.87 = 54,665.77/x
  3. Step 3: Cross multiply
    159,904.21x = 239,593.87 × 54,665.77
  4. Step 4: Simplify right side
    159,904.21x = 13,097,583,390.83
  5. Step 5: Solve for x
    x = 13,097,583,390.83/159,904.21
  6. Step 6: Final answer
    x = 81,908.93

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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.