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Finding the Fourth Proportional to 202,261.50, 303,295.32 and 95,556.63

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Solution

The fourth proportional to 202,261.50, 303,295.32 and 95,556.63 is: 143,289.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,261.50 : 303,295.32 = 95,556.63 : x
  2. Step 2: Convert to fraction form
    202,261.50/303,295.32 = 95,556.63/x
  3. Step 3: Cross multiply
    202,261.50x = 303,295.32 × 95,556.63
  4. Step 4: Simplify right side
    202,261.50x = 28,981,878,673.97
  5. Step 5: Solve for x
    x = 28,981,878,673.97/202,261.50
  6. Step 6: Final answer
    x = 143,289.15

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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.