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Finding the Fourth Proportional to 214,066.28, 320,993.50 and 125,342.12

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Solution

The fourth proportional to 214,066.28, 320,993.50 and 125,342.12 is: 187,951.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,066.28 : 320,993.50 = 125,342.12 : x
  2. Step 2: Convert to fraction form
    214,066.28/320,993.50 = 125,342.12/x
  3. Step 3: Cross multiply
    214,066.28x = 320,993.50 × 125,342.12
  4. Step 4: Simplify right side
    214,066.28x = 40,234,005,796.22
  5. Step 5: Solve for x
    x = 40,234,005,796.22/214,066.28
  6. Step 6: Final answer
    x = 187,951.16

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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.