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Finding the Fourth Proportional to 267,116.38, 368,619.25 and 146,255.47

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Solution

The fourth proportional to 267,116.38, 368,619.25 and 146,255.47 is: 201,831.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,116.38 : 368,619.25 = 146,255.47 : x
  2. Step 2: Convert to fraction form
    267,116.38/368,619.25 = 146,255.47/x
  3. Step 3: Cross multiply
    267,116.38x = 368,619.25 × 146,255.47
  4. Step 4: Simplify right side
    267,116.38x = 53,912,582,025.44
  5. Step 5: Solve for x
    x = 53,912,582,025.44/267,116.38
  6. Step 6: Final answer
    x = 201,831.81

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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.