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Finding the Fourth Proportional to 136,936.38, 189,213.65 and 105,377.97

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Solution

The fourth proportional to 136,936.38, 189,213.65 and 105,377.97 is: 145,607.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,936.38 : 189,213.65 = 105,377.97 : x
  2. Step 2: Convert to fraction form
    136,936.38/189,213.65 = 105,377.97/x
  3. Step 3: Cross multiply
    136,936.38x = 189,213.65 × 105,377.97
  4. Step 4: Simplify right side
    136,936.38x = 19,938,950,333.29
  5. Step 5: Solve for x
    x = 19,938,950,333.29/136,936.38
  6. Step 6: Final answer
    x = 145,607.40

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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.