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Finding the Fourth Proportional to 101,821.48, 140,513.22 and 62,077.48

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Solution

The fourth proportional to 101,821.48, 140,513.22 and 62,077.48 is: 85,666.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,821.48 : 140,513.22 = 62,077.48 : x
  2. Step 2: Convert to fraction form
    101,821.48/140,513.22 = 62,077.48/x
  3. Step 3: Cross multiply
    101,821.48x = 140,513.22 × 62,077.48
  4. Step 4: Simplify right side
    101,821.48x = 8,722,706,604.29
  5. Step 5: Solve for x
    x = 8,722,706,604.29/101,821.48
  6. Step 6: Final answer
    x = 85,666.66

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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.