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Finding the Fourth Proportional to 222,033.48, 333,137.79 and 97,287

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Solution

The fourth proportional to 222,033.48, 333,137.79 and 97,287 is: 145,968.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,033.48 : 333,137.79 = 97,287 : x
  2. Step 2: Convert to fraction form
    222,033.48/333,137.79 = 97,287/x
  3. Step 3: Cross multiply
    222,033.48x = 333,137.79 × 97,287
  4. Step 4: Simplify right side
    222,033.48x = 32,409,976,175.73
  5. Step 5: Solve for x
    x = 32,409,976,175.73/222,033.48
  6. Step 6: Final answer
    x = 145,968.87

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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.