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Finding the Fourth Proportional to 257,435.87, 355,228.61 and 142,713.43

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Solution

The fourth proportional to 257,435.87, 355,228.61 and 142,713.43 is: 196,926.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,435.87 : 355,228.61 = 142,713.43 : x
  2. Step 2: Convert to fraction form
    257,435.87/355,228.61 = 142,713.43/x
  3. Step 3: Cross multiply
    257,435.87x = 355,228.61 × 142,713.43
  4. Step 4: Simplify right side
    257,435.87x = 50,695,891,765.59
  5. Step 5: Solve for x
    x = 50,695,891,765.59/257,435.87
  6. Step 6: Final answer
    x = 196,926.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.