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Finding the Fourth Proportional to 181,963.72, 273,098.94 and 76,858.12

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Solution

The fourth proportional to 181,963.72, 273,098.94 and 76,858.12 is: 115,351.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,963.72 : 273,098.94 = 76,858.12 : x
  2. Step 2: Convert to fraction form
    181,963.72/273,098.94 = 76,858.12/x
  3. Step 3: Cross multiply
    181,963.72x = 273,098.94 × 76,858.12
  4. Step 4: Simplify right side
    181,963.72x = 20,989,871,102.39
  5. Step 5: Solve for x
    x = 20,989,871,102.39/181,963.72
  6. Step 6: Final answer
    x = 115,351.96

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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.