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Finding the Fourth Proportional to 301,164.48, 451,581.78 and 138,882.42

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Solution

The fourth proportional to 301,164.48, 451,581.78 and 138,882.42 is: 208,247.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,164.48 : 451,581.78 = 138,882.42 : x
  2. Step 2: Convert to fraction form
    301,164.48/451,581.78 = 138,882.42/x
  3. Step 3: Cross multiply
    301,164.48x = 451,581.78 × 138,882.42
  4. Step 4: Simplify right side
    301,164.48x = 62,716,770,434.31
  5. Step 5: Solve for x
    x = 62,716,770,434.31/301,164.48
  6. Step 6: Final answer
    x = 208,247.57

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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.