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Finding the Fourth Proportional to 254,906.40, 351,769.68 and 141,722.40

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Solution

The fourth proportional to 254,906.40, 351,769.68 and 141,722.40 is: 195,576.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,906.40 : 351,769.68 = 141,722.40 : x
  2. Step 2: Convert to fraction form
    254,906.40/351,769.68 = 141,722.40/x
  3. Step 3: Cross multiply
    254,906.40x = 351,769.68 × 141,722.40
  4. Step 4: Simplify right side
    254,906.40x = 49,853,643,296.83
  5. Step 5: Solve for x
    x = 49,853,643,296.83/254,906.40
  6. Step 6: Final answer
    x = 195,576.27

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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.