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Finding the Fourth Proportional to 254,108.88, 350,678.16 and 140,942.16

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Solution

The fourth proportional to 254,108.88, 350,678.16 and 140,942.16 is: 194,504.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,108.88 : 350,678.16 = 140,942.16 : x
  2. Step 2: Convert to fraction form
    254,108.88/350,678.16 = 140,942.16/x
  3. Step 3: Cross multiply
    254,108.88x = 350,678.16 × 140,942.16
  4. Step 4: Simplify right side
    254,108.88x = 49,425,337,335.23
  5. Step 5: Solve for x
    x = 49,425,337,335.23/254,108.88
  6. Step 6: Final answer
    x = 194,504.57

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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.