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Finding the Fourth Proportional to 270,654.71, 405,173.20 and 163,715.03

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Solution

The fourth proportional to 270,654.71, 405,173.20 and 163,715.03 is: 245,083.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,654.71 : 405,173.20 = 163,715.03 : x
  2. Step 2: Convert to fraction form
    270,654.71/405,173.20 = 163,715.03/x
  3. Step 3: Cross multiply
    270,654.71x = 405,173.20 × 163,715.03
  4. Step 4: Simplify right side
    270,654.71x = 66,332,942,593.20
  5. Step 5: Solve for x
    x = 66,332,942,593.20/270,654.71
  6. Step 6: Final answer
    x = 245,083.27

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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.