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Finding the Fourth Proportional to 106,096.84, 159,147.24 and 84,938.61

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Solution

The fourth proportional to 106,096.84, 159,147.24 and 84,938.61 is: 127,409.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,096.84 : 159,147.24 = 84,938.61 : x
  2. Step 2: Convert to fraction form
    106,096.84/159,147.24 = 84,938.61/x
  3. Step 3: Cross multiply
    106,096.84x = 159,147.24 × 84,938.61
  4. Step 4: Simplify right side
    106,096.84x = 13,517,744,555.20
  5. Step 5: Solve for x
    x = 13,517,744,555.20/106,096.84
  6. Step 6: Final answer
    x = 127,409.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.