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Finding the Fourth Proportional to 187,194, 258,237.41 and 122,635.19

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Solution

The fourth proportional to 187,194, 258,237.41 and 122,635.19 is: 169,177.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,194 : 258,237.41 = 122,635.19 : x
  2. Step 2: Convert to fraction form
    187,194/258,237.41 = 122,635.19/x
  3. Step 3: Cross multiply
    187,194x = 258,237.41 × 122,635.19
  4. Step 4: Simplify right side
    187,194x = 31,668,991,936.09
  5. Step 5: Solve for x
    x = 31,668,991,936.09/187,194
  6. Step 6: Final answer
    x = 169,177.39

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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.