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Finding the Fourth Proportional to 171,532.29, 257,286.06 and 53,200.56

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Solution

The fourth proportional to 171,532.29, 257,286.06 and 53,200.56 is: 79,797.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,532.29 : 257,286.06 = 53,200.56 : x
  2. Step 2: Convert to fraction form
    171,532.29/257,286.06 = 53,200.56/x
  3. Step 3: Cross multiply
    171,532.29x = 257,286.06 × 53,200.56
  4. Step 4: Simplify right side
    171,532.29x = 13,687,762,472.19
  5. Step 5: Solve for x
    x = 13,687,762,472.19/171,532.29
  6. Step 6: Final answer
    x = 79,797.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.