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Finding the Fourth Proportional to 234,045.33, 351,083.72 and 82,223.94

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Solution

The fourth proportional to 234,045.33, 351,083.72 and 82,223.94 is: 123,341.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,045.33 : 351,083.72 = 82,223.94 : x
  2. Step 2: Convert to fraction form
    234,045.33/351,083.72 = 82,223.94/x
  3. Step 3: Cross multiply
    234,045.33x = 351,083.72 × 82,223.94
  4. Step 4: Simplify right side
    234,045.33x = 28,867,487,633.70
  5. Step 5: Solve for x
    x = 28,867,487,633.70/234,045.33
  6. Step 6: Final answer
    x = 123,341.44

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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.