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Finding the Fourth Proportional to 388,126, 582,189 and 107,643.25

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Solution

The fourth proportional to 388,126, 582,189 and 107,643.25 is: 161,464.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,126 : 582,189 = 107,643.25 : x
  2. Step 2: Convert to fraction form
    388,126/582,189 = 107,643.25/x
  3. Step 3: Cross multiply
    388,126x = 582,189 × 107,643.25
  4. Step 4: Simplify right side
    388,126x = 62,668,716,074.25
  5. Step 5: Solve for x
    x = 62,668,716,074.25/388,126
  6. Step 6: Final answer
    x = 161,464.88

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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.