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Finding the Fourth Proportional to 224,204.92, 309,227.74 and 143,639.88

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Solution

The fourth proportional to 224,204.92, 309,227.74 and 143,639.88 is: 198,110.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,204.92 : 309,227.74 = 143,639.88 : x
  2. Step 2: Convert to fraction form
    224,204.92/309,227.74 = 143,639.88/x
  3. Step 3: Cross multiply
    224,204.92x = 309,227.74 × 143,639.88
  4. Step 4: Simplify right side
    224,204.92x = 44,417,435,466.27
  5. Step 5: Solve for x
    x = 44,417,435,466.27/224,204.92
  6. Step 6: Final answer
    x = 198,110.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.