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Finding the Fourth Proportional to 101,596.49, 140,208.17 and 61,309.56

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Solution

The fourth proportional to 101,596.49, 140,208.17 and 61,309.56 is: 84,610.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,596.49 : 140,208.17 = 61,309.56 : x
  2. Step 2: Convert to fraction form
    101,596.49/140,208.17 = 61,309.56/x
  3. Step 3: Cross multiply
    101,596.49x = 140,208.17 × 61,309.56
  4. Step 4: Simplify right side
    101,596.49x = 8,596,100,904.56
  5. Step 5: Solve for x
    x = 8,596,100,904.56/101,596.49
  6. Step 6: Final answer
    x = 84,610.22

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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.