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Finding the Fourth Proportional to 225,658.50, 311,408.73 and 125,062.98

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Solution

The fourth proportional to 225,658.50, 311,408.73 and 125,062.98 is: 172,586.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,658.50 : 311,408.73 = 125,062.98 : x
  2. Step 2: Convert to fraction form
    225,658.50/311,408.73 = 125,062.98/x
  3. Step 3: Cross multiply
    225,658.50x = 311,408.73 × 125,062.98
  4. Step 4: Simplify right side
    225,658.50x = 38,945,703,771.82
  5. Step 5: Solve for x
    x = 38,945,703,771.82/225,658.50
  6. Step 6: Final answer
    x = 172,586.91

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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.