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Finding the Fourth Proportional to 224,733.14, 336,866.43 and 106,314.38

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Solution

The fourth proportional to 224,733.14, 336,866.43 and 106,314.38 is: 159,361.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,733.14 : 336,866.43 = 106,314.38 : x
  2. Step 2: Convert to fraction form
    224,733.14/336,866.43 = 106,314.38/x
  3. Step 3: Cross multiply
    224,733.14x = 336,866.43 × 106,314.38
  4. Step 4: Simplify right side
    224,733.14x = 35,813,745,648.26
  5. Step 5: Solve for x
    x = 35,813,745,648.26/224,733.14
  6. Step 6: Final answer
    x = 159,361.21

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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.