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Finding the Fourth Proportional to 184,243.38, 254,286.81 and 106,707.66

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Solution

The fourth proportional to 184,243.38, 254,286.81 and 106,707.66 is: 147,274.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,243.38 : 254,286.81 = 106,707.66 : x
  2. Step 2: Convert to fraction form
    184,243.38/254,286.81 = 106,707.66/x
  3. Step 3: Cross multiply
    184,243.38x = 254,286.81 × 106,707.66
  4. Step 4: Simplify right side
    184,243.38x = 27,134,350,463.96
  5. Step 5: Solve for x
    x = 27,134,350,463.96/184,243.38
  6. Step 6: Final answer
    x = 147,274.49

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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.