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Finding the Fourth Proportional to 106,193.52, 159,362.64 and 43,863.60

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Solution

The fourth proportional to 106,193.52, 159,362.64 and 43,863.60 is: 65,825.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,193.52 : 159,362.64 = 43,863.60 : x
  2. Step 2: Convert to fraction form
    106,193.52/159,362.64 = 43,863.60/x
  3. Step 3: Cross multiply
    106,193.52x = 159,362.64 × 43,863.60
  4. Step 4: Simplify right side
    106,193.52x = 6,990,219,095.90
  5. Step 5: Solve for x
    x = 6,990,219,095.90/106,193.52
  6. Step 6: Final answer
    x = 65,825.29

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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.