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Finding the Fourth Proportional to 226,123.92, 312,035.40 and 125,514

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Solution

The fourth proportional to 226,123.92, 312,035.40 and 125,514 is: 173,200.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,123.92 : 312,035.40 = 125,514 : x
  2. Step 2: Convert to fraction form
    226,123.92/312,035.40 = 125,514/x
  3. Step 3: Cross multiply
    226,123.92x = 312,035.40 × 125,514
  4. Step 4: Simplify right side
    226,123.92x = 39,164,811,195.60
  5. Step 5: Solve for x
    x = 39,164,811,195.60/226,123.92
  6. Step 6: Final answer
    x = 173,200.66

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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.