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Finding the Fourth Proportional to 147,851.38, 204,035.22 and 84,189.23

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Solution

The fourth proportional to 147,851.38, 204,035.22 and 84,189.23 is: 116,181.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,851.38 : 204,035.22 = 84,189.23 : x
  2. Step 2: Convert to fraction form
    147,851.38/204,035.22 = 84,189.23/x
  3. Step 3: Cross multiply
    147,851.38x = 204,035.22 × 84,189.23
  4. Step 4: Simplify right side
    147,851.38x = 17,177,566,623.56
  5. Step 5: Solve for x
    x = 17,177,566,623.56/147,851.38
  6. Step 6: Final answer
    x = 116,181.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.