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Finding the Fourth Proportional to 222,243.74, 333,457.89 and 142,371.75

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Solution

The fourth proportional to 222,243.74, 333,457.89 and 142,371.75 is: 213,616.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,243.74 : 333,457.89 = 142,371.75 : x
  2. Step 2: Convert to fraction form
    222,243.74/333,457.89 = 142,371.75/x
  3. Step 3: Cross multiply
    222,243.74x = 333,457.89 × 142,371.75
  4. Step 4: Simplify right side
    222,243.74x = 47,474,983,350.61
  5. Step 5: Solve for x
    x = 47,474,983,350.61/222,243.74
  6. Step 6: Final answer
    x = 213,616.75

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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.