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Finding the Fourth Proportional to 257,175.57, 354,898.53 and 142,453.83

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Solution

The fourth proportional to 257,175.57, 354,898.53 and 142,453.83 is: 196,584.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,175.57 : 354,898.53 = 142,453.83 : x
  2. Step 2: Convert to fraction form
    257,175.57/354,898.53 = 142,453.83/x
  3. Step 3: Cross multiply
    257,175.57x = 354,898.53 × 142,453.83
  4. Step 4: Simplify right side
    257,175.57x = 50,556,654,859.87
  5. Step 5: Solve for x
    x = 50,556,654,859.87/257,175.57
  6. Step 6: Final answer
    x = 196,584.20

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1.5x scale

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.