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Finding the Fourth Proportional to 72,202.26, 108,263.74 and 22,268.50

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Solution

The fourth proportional to 72,202.26, 108,263.74 and 22,268.50 is: 33,390.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,202.26 : 108,263.74 = 22,268.50 : x
  2. Step 2: Convert to fraction form
    72,202.26/108,263.74 = 22,268.50/x
  3. Step 3: Cross multiply
    72,202.26x = 108,263.74 × 22,268.50
  4. Step 4: Simplify right side
    72,202.26x = 2,410,871,094.19
  5. Step 5: Solve for x
    x = 2,410,871,094.19/72,202.26
  6. Step 6: Final answer
    x = 33,390.52

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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.