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Finding the Fourth Proportional to 218,654.40, 301,757.76 and 164,844.48

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Solution

The fourth proportional to 218,654.40, 301,757.76 and 164,844.48 is: 227,496.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,654.40 : 301,757.76 = 164,844.48 : x
  2. Step 2: Convert to fraction form
    218,654.40/301,757.76 = 164,844.48/x
  3. Step 3: Cross multiply
    218,654.40x = 301,757.76 × 164,844.48
  4. Step 4: Simplify right side
    218,654.40x = 49,743,101,033.16
  5. Step 5: Solve for x
    x = 49,743,101,033.16/218,654.40
  6. Step 6: Final answer
    x = 227,496.46

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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.