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Finding the Fourth Proportional to 106,661.76, 159,963.48 and 40,096.78

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Solution

The fourth proportional to 106,661.76, 159,963.48 and 40,096.78 is: 60,134.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,661.76 : 159,963.48 = 40,096.78 : x
  2. Step 2: Convert to fraction form
    106,661.76/159,963.48 = 40,096.78/x
  3. Step 3: Cross multiply
    106,661.76x = 159,963.48 × 40,096.78
  4. Step 4: Simplify right side
    106,661.76x = 6,414,020,465.59
  5. Step 5: Solve for x
    x = 6,414,020,465.59/106,661.76
  6. Step 6: Final answer
    x = 60,134.21

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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.