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Finding the Fourth Proportional to 106,138.15, 146,491.57 and 60,846.54

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Solution

The fourth proportional to 106,138.15, 146,491.57 and 60,846.54 is: 83,980.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,138.15 : 146,491.57 = 60,846.54 : x
  2. Step 2: Convert to fraction form
    106,138.15/146,491.57 = 60,846.54/x
  3. Step 3: Cross multiply
    106,138.15x = 146,491.57 × 60,846.54
  4. Step 4: Simplify right side
    106,138.15x = 8,913,504,700.38
  5. Step 5: Solve for x
    x = 8,913,504,700.38/106,138.15
  6. Step 6: Final answer
    x = 83,980.22

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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.