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Finding the Fourth Proportional to 106,114.14, 146,435.13 and 58,366.44

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Solution

The fourth proportional to 106,114.14, 146,435.13 and 58,366.44 is: 80,544.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,114.14 : 146,435.13 = 58,366.44 : x
  2. Step 2: Convert to fraction form
    106,114.14/146,435.13 = 58,366.44/x
  3. Step 3: Cross multiply
    106,114.14x = 146,435.13 × 58,366.44
  4. Step 4: Simplify right side
    106,114.14x = 8,546,897,229.04
  5. Step 5: Solve for x
    x = 8,546,897,229.04/106,114.14
  6. Step 6: Final answer
    x = 80,544.38

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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.