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Finding the Fourth Proportional to 164,233.09, 226,624.71 and 121,235.44

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Solution

The fourth proportional to 164,233.09, 226,624.71 and 121,235.44 is: 167,292.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,233.09 : 226,624.71 = 121,235.44 : x
  2. Step 2: Convert to fraction form
    164,233.09/226,624.71 = 121,235.44/x
  3. Step 3: Cross multiply
    164,233.09x = 226,624.71 × 121,235.44
  4. Step 4: Simplify right side
    164,233.09x = 27,474,946,431.72
  5. Step 5: Solve for x
    x = 27,474,946,431.72/164,233.09
  6. Step 6: Final answer
    x = 167,292.39

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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.