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Finding the Fourth Proportional to 231,855.81, 347,330.94 and 159,795.83

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Solution

The fourth proportional to 231,855.81, 347,330.94 and 159,795.83 is: 239,381.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,855.81 : 347,330.94 = 159,795.83 : x
  2. Step 2: Convert to fraction form
    231,855.81/347,330.94 = 159,795.83/x
  3. Step 3: Cross multiply
    231,855.81x = 347,330.94 × 159,795.83
  4. Step 4: Simplify right side
    231,855.81x = 55,502,035,841.98
  5. Step 5: Solve for x
    x = 55,502,035,841.98/231,855.81
  6. Step 6: Final answer
    x = 239,381.69

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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.