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Finding the Fourth Proportional to 114,305.37, 171,568.75 and 55,182.54

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Solution

The fourth proportional to 114,305.37, 171,568.75 and 55,182.54 is: 82,827.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,305.37 : 171,568.75 = 55,182.54 : x
  2. Step 2: Convert to fraction form
    114,305.37/171,568.75 = 55,182.54/x
  3. Step 3: Cross multiply
    114,305.37x = 171,568.75 × 55,182.54
  4. Step 4: Simplify right side
    114,305.37x = 9,467,599,409.63
  5. Step 5: Solve for x
    x = 9,467,599,409.63/114,305.37
  6. Step 6: Final answer
    x = 82,827.25

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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.