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Finding the Fourth Proportional to 190,599, 263,026.62 and 105,733.68

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Solution

The fourth proportional to 190,599, 263,026.62 and 105,733.68 is: 145,912.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,599 : 263,026.62 = 105,733.68 : x
  2. Step 2: Convert to fraction form
    190,599/263,026.62 = 105,733.68/x
  3. Step 3: Cross multiply
    190,599x = 263,026.62 × 105,733.68
  4. Step 4: Simplify right side
    190,599x = 27,810,772,470.56
  5. Step 5: Solve for x
    x = 27,810,772,470.56/190,599
  6. Step 6: Final answer
    x = 145,912.48

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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.