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Finding the Fourth Proportional to 171,820.80, 257,293.80 and 163,947.60

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Solution

The fourth proportional to 171,820.80, 257,293.80 and 163,947.60 is: 245,504.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,820.80 : 257,293.80 = 163,947.60 : x
  2. Step 2: Convert to fraction form
    171,820.80/257,293.80 = 163,947.60/x
  3. Step 3: Cross multiply
    171,820.80x = 257,293.80 × 163,947.60
  4. Step 4: Simplify right side
    171,820.80x = 42,182,701,004.88
  5. Step 5: Solve for x
    x = 42,182,701,004.88/171,820.80
  6. Step 6: Final answer
    x = 245,504.04

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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.