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Finding the Fourth Proportional to 190,456.50, 262,829.97 and 105,586.50

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Solution

The fourth proportional to 190,456.50, 262,829.97 and 105,586.50 is: 145,709.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,456.50 : 262,829.97 = 105,586.50 : x
  2. Step 2: Convert to fraction form
    190,456.50/262,829.97 = 105,586.50/x
  3. Step 3: Cross multiply
    190,456.50x = 262,829.97 × 105,586.50
  4. Step 4: Simplify right side
    190,456.50x = 27,751,296,627.41
  5. Step 5: Solve for x
    x = 27,751,296,627.41/190,456.50
  6. Step 6: Final answer
    x = 145,709.37

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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.