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Finding the Fourth Proportional to 171,821.20, 257,756.10 and 53,480.20

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Solution

The fourth proportional to 171,821.20, 257,756.10 and 53,480.20 is: 80,227.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,821.20 : 257,756.10 = 53,480.20 : x
  2. Step 2: Convert to fraction form
    171,821.20/257,756.10 = 53,480.20/x
  3. Step 3: Cross multiply
    171,821.20x = 257,756.10 × 53,480.20
  4. Step 4: Simplify right side
    171,821.20x = 13,784,847,779.22
  5. Step 5: Solve for x
    x = 13,784,847,779.22/171,821.20
  6. Step 6: Final answer
    x = 80,227.86

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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.