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Finding the Fourth Proportional to 147,057.92, 220,556.16 and 41,853.44

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Solution

The fourth proportional to 147,057.92, 220,556.16 and 41,853.44 is: 62,771.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,057.92 : 220,556.16 = 41,853.44 : x
  2. Step 2: Convert to fraction form
    147,057.92/220,556.16 = 41,853.44/x
  3. Step 3: Cross multiply
    147,057.92x = 220,556.16 × 41,853.44
  4. Step 4: Simplify right side
    147,057.92x = 9,231,034,009.19
  5. Step 5: Solve for x
    x = 9,231,034,009.19/147,057.92
  6. Step 6: Final answer
    x = 62,771.42

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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.