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Finding the Fourth Proportional to 257,238.14, 354,790.49 and 155,157.17

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Solution

The fourth proportional to 257,238.14, 354,790.49 and 155,157.17 is: 213,997.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,238.14 : 354,790.49 = 155,157.17 : x
  2. Step 2: Convert to fraction form
    257,238.14/354,790.49 = 155,157.17/x
  3. Step 3: Cross multiply
    257,238.14x = 354,790.49 × 155,157.17
  4. Step 4: Simplify right side
    257,238.14x = 55,048,288,371.31
  5. Step 5: Solve for x
    x = 55,048,288,371.31/257,238.14
  6. Step 6: Final answer
    x = 213,997.38

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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.