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Finding the Fourth Proportional to 202,261, 303,294.56 and 95,556.14

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Solution

The fourth proportional to 202,261, 303,294.56 and 95,556.14 is: 143,288.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,261 : 303,294.56 = 95,556.14 : x
  2. Step 2: Convert to fraction form
    202,261/303,294.56 = 95,556.14/x
  3. Step 3: Cross multiply
    202,261x = 303,294.56 × 95,556.14
  4. Step 4: Simplify right side
    202,261x = 28,981,657,436.60
  5. Step 5: Solve for x
    x = 28,981,657,436.60/202,261
  6. Step 6: Final answer
    x = 143,288.41

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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.