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Finding the Fourth Proportional to 114,309.73, 157,745.37 and 63,322.31

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Solution

The fourth proportional to 114,309.73, 157,745.37 and 63,322.31 is: 87,383.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,309.73 : 157,745.37 = 63,322.31 : x
  2. Step 2: Convert to fraction form
    114,309.73/157,745.37 = 63,322.31/x
  3. Step 3: Cross multiply
    114,309.73x = 157,745.37 × 63,322.31
  4. Step 4: Simplify right side
    114,309.73x = 9,988,800,114.87
  5. Step 5: Solve for x
    x = 9,988,800,114.87/114,309.73
  6. Step 6: Final answer
    x = 87,383.64

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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.