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Finding the Fourth Proportional to 163,843.23, 226,173.34 and 110,159.38

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Solution

The fourth proportional to 163,843.23, 226,173.34 and 110,159.38 is: 152,066.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,843.23 : 226,173.34 = 110,159.38 : x
  2. Step 2: Convert to fraction form
    163,843.23/226,173.34 = 110,159.38/x
  3. Step 3: Cross multiply
    163,843.23x = 226,173.34 × 110,159.38
  4. Step 4: Simplify right side
    163,843.23x = 24,915,114,906.93
  5. Step 5: Solve for x
    x = 24,915,114,906.93/163,843.23
  6. Step 6: Final answer
    x = 152,066.80

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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.