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Finding the Fourth Proportional to 254,234.86, 350,844.16 and 141,057.34

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Solution

The fourth proportional to 254,234.86, 350,844.16 and 141,057.34 is: 194,659.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,234.86 : 350,844.16 = 141,057.34 : x
  2. Step 2: Convert to fraction form
    254,234.86/350,844.16 = 141,057.34/x
  3. Step 3: Cross multiply
    254,234.86x = 350,844.16 × 141,057.34
  4. Step 4: Simplify right side
    254,234.86x = 49,489,143,964.13
  5. Step 5: Solve for x
    x = 49,489,143,964.13/254,234.86
  6. Step 6: Final answer
    x = 194,659.16

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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.