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Finding the Fourth Proportional to 190,874.31, 263,407.02 and 105,991.37

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Solution

The fourth proportional to 190,874.31, 263,407.02 and 105,991.37 is: 146,268.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,874.31 : 263,407.02 = 105,991.37 : x
  2. Step 2: Convert to fraction form
    190,874.31/263,407.02 = 105,991.37/x
  3. Step 3: Cross multiply
    190,874.31x = 263,407.02 × 105,991.37
  4. Step 4: Simplify right side
    190,874.31x = 27,918,869,600.38
  5. Step 5: Solve for x
    x = 27,918,869,600.38/190,874.31
  6. Step 6: Final answer
    x = 146,268.35

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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.