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Finding the Fourth Proportional to 203,022.40, 304,879.20 and 150,491.20

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Solution

The fourth proportional to 203,022.40, 304,879.20 and 150,491.20 is: 225,992.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,022.40 : 304,879.20 = 150,491.20 : x
  2. Step 2: Convert to fraction form
    203,022.40/304,879.20 = 150,491.20/x
  3. Step 3: Cross multiply
    203,022.40x = 304,879.20 × 150,491.20
  4. Step 4: Simplify right side
    203,022.40x = 45,881,636,663.04
  5. Step 5: Solve for x
    x = 45,881,636,663.04/203,022.40
  6. Step 6: Final answer
    x = 225,992.98

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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.