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Finding the Fourth Proportional to 226,165.83, 312,114.26 and 122,804.38

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Solution

The fourth proportional to 226,165.83, 312,114.26 and 122,804.38 is: 169,472.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,165.83 : 312,114.26 = 122,804.38 : x
  2. Step 2: Convert to fraction form
    226,165.83/312,114.26 = 122,804.38/x
  3. Step 3: Cross multiply
    226,165.83x = 312,114.26 × 122,804.38
  4. Step 4: Simplify right side
    226,165.83x = 38,328,997,628.09
  5. Step 5: Solve for x
    x = 38,328,997,628.09/226,165.83
  6. Step 6: Final answer
    x = 169,472.98

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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.