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Finding the Fourth Proportional to 106,941.36, 160,321.82 and 67,411.32

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Solution

The fourth proportional to 106,941.36, 160,321.82 and 67,411.32 is: 101,060.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,941.36 : 160,321.82 = 67,411.32 : x
  2. Step 2: Convert to fraction form
    106,941.36/160,321.82 = 67,411.32/x
  3. Step 3: Cross multiply
    106,941.36x = 160,321.82 × 67,411.32
  4. Step 4: Simplify right side
    106,941.36x = 10,807,505,173.95
  5. Step 5: Solve for x
    x = 10,807,505,173.95/106,941.36
  6. Step 6: Final answer
    x = 101,060.11

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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.