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Finding the Fourth Proportional to 204,168, 306,314.10 and 104,398.23

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Solution

The fourth proportional to 204,168, 306,314.10 and 104,398.23 is: 156,629.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,168 : 306,314.10 = 104,398.23 : x
  2. Step 2: Convert to fraction form
    204,168/306,314.10 = 104,398.23/x
  3. Step 3: Cross multiply
    204,168x = 306,314.10 × 104,398.23
  4. Step 4: Simplify right side
    204,168x = 31,978,649,864.04
  5. Step 5: Solve for x
    x = 31,978,649,864.04/204,168
  6. Step 6: Final answer
    x = 156,629.10

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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.