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Finding the Fourth Proportional to 224,791.94, 337,297.86 and 98,414.92

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Solution

The fourth proportional to 224,791.94, 337,297.86 and 98,414.92 is: 147,670.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,791.94 : 337,297.86 = 98,414.92 : x
  2. Step 2: Convert to fraction form
    224,791.94/337,297.86 = 98,414.92/x
  3. Step 3: Cross multiply
    224,791.94x = 337,297.86 × 98,414.92
  4. Step 4: Simplify right side
    224,791.94x = 33,195,141,908.07
  5. Step 5: Solve for x
    x = 33,195,141,908.07/224,791.94
  6. Step 6: Final answer
    x = 147,670.52

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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.