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Finding the Fourth Proportional to 226,027.71, 311,961.24 and 149,548.32

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Solution

The fourth proportional to 226,027.71, 311,961.24 and 149,548.32 is: 206,405.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,027.71 : 311,961.24 = 149,548.32 : x
  2. Step 2: Convert to fraction form
    226,027.71/311,961.24 = 149,548.32/x
  3. Step 3: Cross multiply
    226,027.71x = 311,961.24 × 149,548.32
  4. Step 4: Simplify right side
    226,027.71x = 46,653,279,347.12
  5. Step 5: Solve for x
    x = 46,653,279,347.12/226,027.71
  6. Step 6: Final answer
    x = 206,405.13

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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.