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Finding the Fourth Proportional to 301,174.48, 451,596.78 and 138,892.42

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Solution

The fourth proportional to 301,174.48, 451,596.78 and 138,892.42 is: 208,262.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,174.48 : 451,596.78 = 138,892.42 : x
  2. Step 2: Convert to fraction form
    301,174.48/451,596.78 = 138,892.42/x
  3. Step 3: Cross multiply
    301,174.48x = 451,596.78 × 138,892.42
  4. Step 4: Simplify right side
    301,174.48x = 62,723,369,638.41
  5. Step 5: Solve for x
    x = 62,723,369,638.41/301,174.48
  6. Step 6: Final answer
    x = 208,262.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.