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Finding the Fourth Proportional to 225,958.49, 312,235.28 and 164,597.85

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Solution

The fourth proportional to 225,958.49, 312,235.28 and 164,597.85 is: 227,445.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,958.49 : 312,235.28 = 164,597.85 : x
  2. Step 2: Convert to fraction form
    225,958.49/312,235.28 = 164,597.85/x
  3. Step 3: Cross multiply
    225,958.49x = 312,235.28 × 164,597.85
  4. Step 4: Simplify right side
    225,958.49x = 51,393,255,782.15
  5. Step 5: Solve for x
    x = 51,393,255,782.15/225,958.49
  6. Step 6: Final answer
    x = 227,445.56

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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.