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Finding the Fourth Proportional to 192,586.24, 265,764 and 106,543

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Solution

The fourth proportional to 192,586.24, 265,764 and 106,543 is: 147,026.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,586.24 : 265,764 = 106,543 : x
  2. Step 2: Convert to fraction form
    192,586.24/265,764 = 106,543/x
  3. Step 3: Cross multiply
    192,586.24x = 265,764 × 106,543
  4. Step 4: Simplify right side
    192,586.24x = 28,315,293,852
  5. Step 5: Solve for x
    x = 28,315,293,852/192,586.24
  6. Step 6: Final answer
    x = 147,026.57

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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.