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Finding the Fourth Proportional to 202,462.64, 303,695.04 and 132,783.20

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Solution

The fourth proportional to 202,462.64, 303,695.04 and 132,783.20 is: 199,175.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,462.64 : 303,695.04 = 132,783.20 : x
  2. Step 2: Convert to fraction form
    202,462.64/303,695.04 = 132,783.20/x
  3. Step 3: Cross multiply
    202,462.64x = 303,695.04 × 132,783.20
  4. Step 4: Simplify right side
    202,462.64x = 40,325,599,235.33
  5. Step 5: Solve for x
    x = 40,325,599,235.33/202,462.64
  6. Step 6: Final answer
    x = 199,175.51

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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.