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Finding the Fourth Proportional to 171,711.68, 257,566.24 and 53,382.80

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Solution

The fourth proportional to 171,711.68, 257,566.24 and 53,382.80 is: 80,073.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,711.68 : 257,566.24 = 53,382.80 : x
  2. Step 2: Convert to fraction form
    171,711.68/257,566.24 = 53,382.80/x
  3. Step 3: Cross multiply
    171,711.68x = 257,566.24 × 53,382.80
  4. Step 4: Simplify right side
    171,711.68x = 13,749,607,076.67
  5. Step 5: Solve for x
    x = 13,749,607,076.67/171,711.68
  6. Step 6: Final answer
    x = 80,073.80

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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.