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Finding the Fourth Proportional to 121,896.36, 182,858.94 and 51,736.68

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Solution

The fourth proportional to 121,896.36, 182,858.94 and 51,736.68 is: 77,611.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,896.36 : 182,858.94 = 51,736.68 : x
  2. Step 2: Convert to fraction form
    121,896.36/182,858.94 = 51,736.68/x
  3. Step 3: Cross multiply
    121,896.36x = 182,858.94 × 51,736.68
  4. Step 4: Simplify right side
    121,896.36x = 9,460,514,463.92
  5. Step 5: Solve for x
    x = 9,460,514,463.92/121,896.36
  6. Step 6: Final answer
    x = 77,611.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.