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Finding the Fourth Proportional to 224,287.20, 336,461.76 and 82,113.84

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Solution

The fourth proportional to 224,287.20, 336,461.76 and 82,113.84 is: 123,182.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,287.20 : 336,461.76 = 82,113.84 : x
  2. Step 2: Convert to fraction form
    224,287.20/336,461.76 = 82,113.84/x
  3. Step 3: Cross multiply
    224,287.20x = 336,461.76 × 82,113.84
  4. Step 4: Simplify right side
    224,287.20x = 27,628,167,126.76
  5. Step 5: Solve for x
    x = 27,628,167,126.76/224,287.20
  6. Step 6: Final answer
    x = 123,182.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.