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Finding the Fourth Proportional to 254,874.50, 351,727.23 and 141,697.25

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Solution

The fourth proportional to 254,874.50, 351,727.23 and 141,697.25 is: 195,542.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,874.50 : 351,727.23 = 141,697.25 : x
  2. Step 2: Convert to fraction form
    254,874.50/351,727.23 = 141,697.25/x
  3. Step 3: Cross multiply
    254,874.50x = 351,727.23 × 141,697.25
  4. Step 4: Simplify right side
    254,874.50x = 49,838,781,241.12
  5. Step 5: Solve for x
    x = 49,838,781,241.12/254,874.50
  6. Step 6: Final answer
    x = 195,542.44

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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.