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Finding the Fourth Proportional to 296,174.81, 408,721.21 and 167,140.60

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Solution

The fourth proportional to 296,174.81, 408,721.21 and 167,140.60 is: 230,654.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,174.81 : 408,721.21 = 167,140.60 : x
  2. Step 2: Convert to fraction form
    296,174.81/408,721.21 = 167,140.60/x
  3. Step 3: Cross multiply
    296,174.81x = 408,721.21 × 167,140.60
  4. Step 4: Simplify right side
    296,174.81x = 68,313,906,832.47
  5. Step 5: Solve for x
    x = 68,313,906,832.47/296,174.81
  6. Step 6: Final answer
    x = 230,654.01

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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.