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Finding the Fourth Proportional to 118,930.45, 164,123.94 and 65,216.38

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Solution

The fourth proportional to 118,930.45, 164,123.94 and 65,216.38 is: 89,998.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,930.45 : 164,123.94 = 65,216.38 : x
  2. Step 2: Convert to fraction form
    118,930.45/164,123.94 = 65,216.38/x
  3. Step 3: Cross multiply
    118,930.45x = 164,123.94 × 65,216.38
  4. Step 4: Simplify right side
    118,930.45x = 10,703,569,238.14
  5. Step 5: Solve for x
    x = 10,703,569,238.14/118,930.45
  6. Step 6: Final answer
    x = 89,998.56

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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.