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Finding the Fourth Proportional to 136,936.88, 189,214.34 and 105,378.47

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Solution

The fourth proportional to 136,936.88, 189,214.34 and 105,378.47 is: 145,608.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,936.88 : 189,214.34 = 105,378.47 : x
  2. Step 2: Convert to fraction form
    136,936.88/189,214.34 = 105,378.47/x
  3. Step 3: Cross multiply
    136,936.88x = 189,214.34 × 105,378.47
  4. Step 4: Simplify right side
    136,936.88x = 19,939,117,651.26
  5. Step 5: Solve for x
    x = 19,939,117,651.26/136,936.88
  6. Step 6: Final answer
    x = 145,608.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.