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Finding the Fourth Proportional to 234,314.40, 351,223.44 and 76,500.48

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Solution

The fourth proportional to 234,314.40, 351,223.44 and 76,500.48 is: 114,669.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,314.40 : 351,223.44 = 76,500.48 : x
  2. Step 2: Convert to fraction form
    234,314.40/351,223.44 = 76,500.48/x
  3. Step 3: Cross multiply
    234,314.40x = 351,223.44 × 76,500.48
  4. Step 4: Simplify right side
    234,314.40x = 26,868,761,747.25
  5. Step 5: Solve for x
    x = 26,868,761,747.25/234,314.40
  6. Step 6: Final answer
    x = 114,669.70

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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.