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Finding the Fourth Proportional to 101,971.99, 140,739.38 and 76,259.53

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Solution

The fourth proportional to 101,971.99, 140,739.38 and 76,259.53 is: 105,251.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,971.99 : 140,739.38 = 76,259.53 : x
  2. Step 2: Convert to fraction form
    101,971.99/140,739.38 = 76,259.53/x
  3. Step 3: Cross multiply
    101,971.99x = 140,739.38 × 76,259.53
  4. Step 4: Simplify right side
    101,971.99x = 10,732,718,971.29
  5. Step 5: Solve for x
    x = 10,732,718,971.29/101,971.99
  6. Step 6: Final answer
    x = 105,251.64

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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.