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Finding the Fourth Proportional to 220,129.56, 303,907.68 and 159,642

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Solution

The fourth proportional to 220,129.56, 303,907.68 and 159,642 is: 220,399.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,129.56 : 303,907.68 = 159,642 : x
  2. Step 2: Convert to fraction form
    220,129.56/303,907.68 = 159,642/x
  3. Step 3: Cross multiply
    220,129.56x = 303,907.68 × 159,642
  4. Step 4: Simplify right side
    220,129.56x = 48,516,429,850.56
  5. Step 5: Solve for x
    x = 48,516,429,850.56/220,129.56
  6. Step 6: Final answer
    x = 220,399.43

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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.