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Finding the Fourth Proportional to 202,169.20, 303,059.40 and 157,165.60

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Solution

The fourth proportional to 202,169.20, 303,059.40 and 157,165.60 is: 235,597.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,169.20 : 303,059.40 = 157,165.60 : x
  2. Step 2: Convert to fraction form
    202,169.20/303,059.40 = 157,165.60/x
  3. Step 3: Cross multiply
    202,169.20x = 303,059.40 × 157,165.60
  4. Step 4: Simplify right side
    202,169.20x = 47,630,512,436.64
  5. Step 5: Solve for x
    x = 47,630,512,436.64/202,169.20
  6. Step 6: Final answer
    x = 235,597.27

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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.