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Finding the Fourth Proportional to 231,854.56, 347,329.06 and 159,794.58

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Solution

The fourth proportional to 231,854.56, 347,329.06 and 159,794.58 is: 239,379.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,854.56 : 347,329.06 = 159,794.58 : x
  2. Step 2: Convert to fraction form
    231,854.56/347,329.06 = 159,794.58/x
  3. Step 3: Cross multiply
    231,854.56x = 347,329.06 × 159,794.58
  4. Step 4: Simplify right side
    231,854.56x = 55,501,302,089.47
  5. Step 5: Solve for x
    x = 55,501,302,089.47/231,854.56
  6. Step 6: Final answer
    x = 239,379.82

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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.