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Finding the Fourth Proportional to 388,125, 582,187.50 and 107,642.25

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Solution

The fourth proportional to 388,125, 582,187.50 and 107,642.25 is: 161,463.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,125 : 582,187.50 = 107,642.25 : x
  2. Step 2: Convert to fraction form
    388,125/582,187.50 = 107,642.25/x
  3. Step 3: Cross multiply
    388,125x = 582,187.50 × 107,642.25
  4. Step 4: Simplify right side
    388,125x = 62,667,972,421.88
  5. Step 5: Solve for x
    x = 62,667,972,421.88/388,125
  6. Step 6: Final answer
    x = 161,463.38

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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.