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Finding the Fourth Proportional to 202,854.44, 303,920.80 and 172,969.08

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Solution

The fourth proportional to 202,854.44, 303,920.80 and 172,969.08 is: 259,145.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,854.44 : 303,920.80 = 172,969.08 : x
  2. Step 2: Convert to fraction form
    202,854.44/303,920.80 = 172,969.08/x
  3. Step 3: Cross multiply
    202,854.44x = 303,920.80 × 172,969.08
  4. Step 4: Simplify right side
    202,854.44x = 52,568,901,168.86
  5. Step 5: Solve for x
    x = 52,568,901,168.86/202,854.44
  6. Step 6: Final answer
    x = 259,145.92

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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.