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Finding the Fourth Proportional to 106,960.76, 159,791.08 and 69,213.32

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Solution

The fourth proportional to 106,960.76, 159,791.08 and 69,213.32 is: 103,399.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,960.76 : 159,791.08 = 69,213.32 : x
  2. Step 2: Convert to fraction form
    106,960.76/159,791.08 = 69,213.32/x
  3. Step 3: Cross multiply
    106,960.76x = 159,791.08 × 69,213.32
  4. Step 4: Simplify right side
    106,960.76x = 11,059,671,153.19
  5. Step 5: Solve for x
    x = 11,059,671,153.19/106,960.76
  6. Step 6: Final answer
    x = 103,399.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.