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Finding the Fourth Proportional to 226,699.38, 312,840.09 and 131,204.16

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Solution

The fourth proportional to 226,699.38, 312,840.09 and 131,204.16 is: 181,058.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,699.38 : 312,840.09 = 131,204.16 : x
  2. Step 2: Convert to fraction form
    226,699.38/312,840.09 = 131,204.16/x
  3. Step 3: Cross multiply
    226,699.38x = 312,840.09 × 131,204.16
  4. Step 4: Simplify right side
    226,699.38x = 41,045,921,222.77
  5. Step 5: Solve for x
    x = 41,045,921,222.77/226,699.38
  6. Step 6: Final answer
    x = 181,058.82

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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.