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Finding the Fourth Proportional to 224,736.74, 337,059.48 and 82,533.14

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Solution

The fourth proportional to 224,736.74, 337,059.48 and 82,533.14 is: 123,782.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,736.74 : 337,059.48 = 82,533.14 : x
  2. Step 2: Convert to fraction form
    224,736.74/337,059.48 = 82,533.14/x
  3. Step 3: Cross multiply
    224,736.74x = 337,059.48 × 82,533.14
  4. Step 4: Simplify right side
    224,736.74x = 27,818,577,251.17
  5. Step 5: Solve for x
    x = 27,818,577,251.17/224,736.74
  6. Step 6: Final answer
    x = 123,782.95

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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.