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Finding the Fourth Proportional to 136,846.26, 188,846.06 and 76,417.97

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Solution

The fourth proportional to 136,846.26, 188,846.06 and 76,417.97 is: 105,455.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,846.26 : 188,846.06 = 76,417.97 : x
  2. Step 2: Convert to fraction form
    136,846.26/188,846.06 = 76,417.97/x
  3. Step 3: Cross multiply
    136,846.26x = 188,846.06 × 76,417.97
  4. Step 4: Simplify right side
    136,846.26x = 14,431,231,221.38
  5. Step 5: Solve for x
    x = 14,431,231,221.38/136,846.26
  6. Step 6: Final answer
    x = 105,455.80

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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.