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Finding the Fourth Proportional to 254,940.31, 351,817.92 and 141,760.63

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Solution

The fourth proportional to 254,940.31, 351,817.92 and 141,760.63 is: 195,629.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,940.31 : 351,817.92 = 141,760.63 : x
  2. Step 2: Convert to fraction form
    254,940.31/351,817.92 = 141,760.63/x
  3. Step 3: Cross multiply
    254,940.31x = 351,817.92 × 141,760.63
  4. Step 4: Simplify right side
    254,940.31x = 49,873,927,516.60
  5. Step 5: Solve for x
    x = 49,873,927,516.60/254,940.31
  6. Step 6: Final answer
    x = 195,629.83

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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.