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Finding the Fourth Proportional to 106,340.78, 146,749.10 and 60,400.10

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Solution

The fourth proportional to 106,340.78, 146,749.10 and 60,400.10 is: 83,351.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,340.78 : 146,749.10 = 60,400.10 : x
  2. Step 2: Convert to fraction form
    106,340.78/146,749.10 = 60,400.10/x
  3. Step 3: Cross multiply
    106,340.78x = 146,749.10 × 60,400.10
  4. Step 4: Simplify right side
    106,340.78x = 8,863,660,314.91
  5. Step 5: Solve for x
    x = 8,863,660,314.91/106,340.78
  6. Step 6: Final answer
    x = 83,351.47

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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.