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Finding the Fourth Proportional to 225,458.42, 311,133.04 and 122,092.34

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Solution

The fourth proportional to 225,458.42, 311,133.04 and 122,092.34 is: 168,487.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,458.42 : 311,133.04 = 122,092.34 : x
  2. Step 2: Convert to fraction form
    225,458.42/311,133.04 = 122,092.34/x
  3. Step 3: Cross multiply
    225,458.42x = 311,133.04 × 122,092.34
  4. Step 4: Simplify right side
    225,458.42x = 37,986,959,044.02
  5. Step 5: Solve for x
    x = 37,986,959,044.02/225,458.42
  6. Step 6: Final answer
    x = 168,487.65

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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.