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Finding the Fourth Proportional to 106,462.71, 146,912.20 and 61,148.07

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Solution

The fourth proportional to 106,462.71, 146,912.20 and 61,148.07 is: 84,380.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,462.71 : 146,912.20 = 61,148.07 : x
  2. Step 2: Convert to fraction form
    106,462.71/146,912.20 = 61,148.07/x
  3. Step 3: Cross multiply
    106,462.71x = 146,912.20 × 61,148.07
  4. Step 4: Simplify right side
    106,462.71x = 8,983,397,336.58
  5. Step 5: Solve for x
    x = 8,983,397,336.58/106,462.71
  6. Step 6: Final answer
    x = 84,380.69

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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.