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Finding the Fourth Proportional to 226,048.37, 311,962.34 and 149,434.59

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Solution

The fourth proportional to 226,048.37, 311,962.34 and 149,434.59 is: 206,230.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,048.37 : 311,962.34 = 149,434.59 : x
  2. Step 2: Convert to fraction form
    226,048.37/311,962.34 = 149,434.59/x
  3. Step 3: Cross multiply
    226,048.37x = 311,962.34 × 149,434.59
  4. Step 4: Simplify right side
    226,048.37x = 46,617,964,796.03
  5. Step 5: Solve for x
    x = 46,617,964,796.03/226,048.37
  6. Step 6: Final answer
    x = 206,230.05

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