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Finding the Fourth Proportional to 106,643.96, 159,998.96 and 63,997.02

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Solution

The fourth proportional to 106,643.96, 159,998.96 and 63,997.02 is: 96,015.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,643.96 : 159,998.96 = 63,997.02 : x
  2. Step 2: Convert to fraction form
    106,643.96/159,998.96 = 63,997.02/x
  3. Step 3: Cross multiply
    106,643.96x = 159,998.96 × 63,997.02
  4. Step 4: Simplify right side
    106,643.96x = 10,239,456,803.09
  5. Step 5: Solve for x
    x = 10,239,456,803.09/106,643.96
  6. Step 6: Final answer
    x = 96,015.35

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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.