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Finding the Fourth Proportional to 106,298.24, 159,447.36 and 43,900.16

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Solution

The fourth proportional to 106,298.24, 159,447.36 and 43,900.16 is: 65,850.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,298.24 : 159,447.36 = 43,900.16 : x
  2. Step 2: Convert to fraction form
    106,298.24/159,447.36 = 43,900.16/x
  3. Step 3: Cross multiply
    106,298.24x = 159,447.36 × 43,900.16
  4. Step 4: Simplify right side
    106,298.24x = 6,999,764,615.58
  5. Step 5: Solve for x
    x = 6,999,764,615.58/106,298.24
  6. Step 6: Final answer
    x = 65,850.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.