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Finding the Fourth Proportional to 195,084.96, 269,215.56 and 105,660.96

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Solution

The fourth proportional to 195,084.96, 269,215.56 and 105,660.96 is: 145,811.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,084.96 : 269,215.56 = 105,660.96 : x
  2. Step 2: Convert to fraction form
    195,084.96/269,215.56 = 105,660.96/x
  3. Step 3: Cross multiply
    195,084.96x = 269,215.56 × 105,660.96
  4. Step 4: Simplify right side
    195,084.96x = 28,445,574,516.54
  5. Step 5: Solve for x
    x = 28,445,574,516.54/195,084.96
  6. Step 6: Final answer
    x = 145,811.21

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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.