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Finding the Fourth Proportional to 301,215.52, 451,583.50 and 149,305.68

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Solution

The fourth proportional to 301,215.52, 451,583.50 and 149,305.68 is: 223,839.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,215.52 : 451,583.50 = 149,305.68 : x
  2. Step 2: Convert to fraction form
    301,215.52/451,583.50 = 149,305.68/x
  3. Step 3: Cross multiply
    301,215.52x = 451,583.50 × 149,305.68
  4. Step 4: Simplify right side
    301,215.52x = 67,423,981,544.28
  5. Step 5: Solve for x
    x = 67,423,981,544.28/301,215.52
  6. Step 6: Final answer
    x = 223,839.67

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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.