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Finding the Fourth Proportional to 192,706.31, 265,927.92 and 106,665.46

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Solution

The fourth proportional to 192,706.31, 265,927.92 and 106,665.46 is: 147,194.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,706.31 : 265,927.92 = 106,665.46 : x
  2. Step 2: Convert to fraction form
    192,706.31/265,927.92 = 106,665.46/x
  3. Step 3: Cross multiply
    192,706.31x = 265,927.92 × 106,665.46
  4. Step 4: Simplify right side
    192,706.31x = 28,365,323,148.82
  5. Step 5: Solve for x
    x = 28,365,323,148.82/192,706.31
  6. Step 6: Final answer
    x = 147,194.58

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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.