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Finding the Fourth Proportional to 106,138.82, 146,472.54 and 57,741.82

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Solution

The fourth proportional to 106,138.82, 146,472.54 and 57,741.82 is: 79,684.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,138.82 : 146,472.54 = 57,741.82 : x
  2. Step 2: Convert to fraction form
    106,138.82/146,472.54 = 57,741.82/x
  3. Step 3: Cross multiply
    106,138.82x = 146,472.54 × 57,741.82
  4. Step 4: Simplify right side
    106,138.82x = 8,457,591,039.62
  5. Step 5: Solve for x
    x = 8,457,591,039.62/106,138.82
  6. Step 6: Final answer
    x = 79,684.24

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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.