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Finding the Fourth Proportional to 159,231.78, 238,942.86 and 59,462.04

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Solution

The fourth proportional to 159,231.78, 238,942.86 and 59,462.04 is: 89,228.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,231.78 : 238,942.86 = 59,462.04 : x
  2. Step 2: Convert to fraction form
    159,231.78/238,942.86 = 59,462.04/x
  3. Step 3: Cross multiply
    159,231.78x = 238,942.86 × 59,462.04
  4. Step 4: Simplify right side
    159,231.78x = 14,208,029,899.03
  5. Step 5: Solve for x
    x = 14,208,029,899.03/159,231.78
  6. Step 6: Final answer
    x = 89,228.61

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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.