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Finding the Fourth Proportional to 241,724.64, 333,472.68 and 161,073.48

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Solution

The fourth proportional to 241,724.64, 333,472.68 and 161,073.48 is: 222,209.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,724.64 : 333,472.68 = 161,073.48 : x
  2. Step 2: Convert to fraction form
    241,724.64/333,472.68 = 161,073.48/x
  3. Step 3: Cross multiply
    241,724.64x = 333,472.68 × 161,073.48
  4. Step 4: Simplify right side
    241,724.64x = 53,713,605,052.53
  5. Step 5: Solve for x
    x = 53,713,605,052.53/241,724.64
  6. Step 6: Final answer
    x = 222,209.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.