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Finding the Fourth Proportional to 106,166.66, 159,249.98 and 27,280.96

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Solution

The fourth proportional to 106,166.66, 159,249.98 and 27,280.96 is: 40,921.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,166.66 : 159,249.98 = 27,280.96 : x
  2. Step 2: Convert to fraction form
    106,166.66/159,249.98 = 27,280.96/x
  3. Step 3: Cross multiply
    106,166.66x = 159,249.98 × 27,280.96
  4. Step 4: Simplify right side
    106,166.66x = 4,344,492,004.46
  5. Step 5: Solve for x
    x = 4,344,492,004.46/106,166.66
  6. Step 6: Final answer
    x = 40,921.44

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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.