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Finding the Fourth Proportional to 224,455.24, 309,739.64 and 123,853.24

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Solution

The fourth proportional to 224,455.24, 309,739.64 and 123,853.24 is: 170,912.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,455.24 : 309,739.64 = 123,853.24 : x
  2. Step 2: Convert to fraction form
    224,455.24/309,739.64 = 123,853.24/x
  3. Step 3: Cross multiply
    224,455.24x = 309,739.64 × 123,853.24
  4. Step 4: Simplify right side
    224,455.24x = 38,362,257,970.43
  5. Step 5: Solve for x
    x = 38,362,257,970.43/224,455.24
  6. Step 6: Final answer
    x = 170,912.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.