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Finding the Fourth Proportional to 254,912.74, 351,777.45 and 141,734.50

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Solution

The fourth proportional to 254,912.74, 351,777.45 and 141,734.50 is: 195,592.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,912.74 : 351,777.45 = 141,734.50 : x
  2. Step 2: Convert to fraction form
    254,912.74/351,777.45 = 141,734.50/x
  3. Step 3: Cross multiply
    254,912.74x = 351,777.45 × 141,734.50
  4. Step 4: Simplify right side
    254,912.74x = 49,859,000,987.03
  5. Step 5: Solve for x
    x = 49,859,000,987.03/254,912.74
  6. Step 6: Final answer
    x = 195,592.43

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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.