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Finding the Fourth Proportional to 257,329.68, 355,249.38 and 199,840.02

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Solution

The fourth proportional to 257,329.68, 355,249.38 and 199,840.02 is: 275,883.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,329.68 : 355,249.38 = 199,840.02 : x
  2. Step 2: Convert to fraction form
    257,329.68/355,249.38 = 199,840.02/x
  3. Step 3: Cross multiply
    257,329.68x = 355,249.38 × 199,840.02
  4. Step 4: Simplify right side
    257,329.68x = 70,993,043,204.19
  5. Step 5: Solve for x
    x = 70,993,043,204.19/257,329.68
  6. Step 6: Final answer
    x = 275,883.62

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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.