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Finding the Fourth Proportional to 234,611.50, 351,923 and 76,833.58

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Solution

The fourth proportional to 234,611.50, 351,923 and 76,833.58 is: 115,252.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,611.50 : 351,923 = 76,833.58 : x
  2. Step 2: Convert to fraction form
    234,611.50/351,923 = 76,833.58/x
  3. Step 3: Cross multiply
    234,611.50x = 351,923 × 76,833.58
  4. Step 4: Simplify right side
    234,611.50x = 27,039,503,974.34
  5. Step 5: Solve for x
    x = 27,039,503,974.34/234,611.50
  6. Step 6: Final answer
    x = 115,252.25

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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.