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Finding the Fourth Proportional to 224,089.28, 309,107.22 and 133,384.67

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Solution

The fourth proportional to 224,089.28, 309,107.22 and 133,384.67 is: 183,989.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,089.28 : 309,107.22 = 133,384.67 : x
  2. Step 2: Convert to fraction form
    224,089.28/309,107.22 = 133,384.67/x
  3. Step 3: Cross multiply
    224,089.28x = 309,107.22 × 133,384.67
  4. Step 4: Simplify right side
    224,089.28x = 41,230,164,398.03
  5. Step 5: Solve for x
    x = 41,230,164,398.03/224,089.28
  6. Step 6: Final answer
    x = 183,989.90

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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.