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Finding the Fourth Proportional to 221,756.56, 305,917.28 and 145,241.52

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Solution

The fourth proportional to 221,756.56, 305,917.28 and 145,241.52 is: 200,363.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,756.56 : 305,917.28 = 145,241.52 : x
  2. Step 2: Convert to fraction form
    221,756.56/305,917.28 = 145,241.52/x
  3. Step 3: Cross multiply
    221,756.56x = 305,917.28 × 145,241.52
  4. Step 4: Simplify right side
    221,756.56x = 44,431,890,741.47
  5. Step 5: Solve for x
    x = 44,431,890,741.47/221,756.56
  6. Step 6: Final answer
    x = 200,363.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.