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Finding the Fourth Proportional to 147,841, 204,020.58 and 80,773.48

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Solution

The fourth proportional to 147,841, 204,020.58 and 80,773.48 is: 111,467.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,841 : 204,020.58 = 80,773.48 : x
  2. Step 2: Convert to fraction form
    147,841/204,020.58 = 80,773.48/x
  3. Step 3: Cross multiply
    147,841x = 204,020.58 × 80,773.48
  4. Step 4: Simplify right side
    147,841x = 16,479,452,238.22
  5. Step 5: Solve for x
    x = 16,479,452,238.22/147,841
  6. Step 6: Final answer
    x = 111,467.40

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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.