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Finding the Fourth Proportional to 224,517.98, 336,776.95 and 82,309.51

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Solution

The fourth proportional to 224,517.98, 336,776.95 and 82,309.51 is: 123,464.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,517.98 : 336,776.95 = 82,309.51 : x
  2. Step 2: Convert to fraction form
    224,517.98/336,776.95 = 82,309.51/x
  3. Step 3: Cross multiply
    224,517.98x = 336,776.95 × 82,309.51
  4. Step 4: Simplify right side
    224,517.98x = 27,719,944,686.08
  5. Step 5: Solve for x
    x = 27,719,944,686.08/224,517.98
  6. Step 6: Final answer
    x = 123,464.25

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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.