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Finding the Fourth Proportional to 105,205.26, 157,844.75 and 65,716.14

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Solution

The fourth proportional to 105,205.26, 157,844.75 and 65,716.14 is: 98,597.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,205.26 : 157,844.75 = 65,716.14 : x
  2. Step 2: Convert to fraction form
    105,205.26/157,844.75 = 65,716.14/x
  3. Step 3: Cross multiply
    105,205.26x = 157,844.75 × 65,716.14
  4. Step 4: Simplify right side
    105,205.26x = 10,372,947,360.68
  5. Step 5: Solve for x
    x = 10,372,947,360.68/105,205.26
  6. Step 6: Final answer
    x = 98,597.23

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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.