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Finding the Fourth Proportional to 190,270.50, 285,394.82 and 57,147.81

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Solution

The fourth proportional to 190,270.50, 285,394.82 and 57,147.81 is: 85,718.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,270.50 : 285,394.82 = 57,147.81 : x
  2. Step 2: Convert to fraction form
    190,270.50/285,394.82 = 57,147.81/x
  3. Step 3: Cross multiply
    190,270.50x = 285,394.82 × 57,147.81
  4. Step 4: Simplify right side
    190,270.50x = 16,309,688,662.61
  5. Step 5: Solve for x
    x = 16,309,688,662.61/190,270.50
  6. Step 6: Final answer
    x = 85,718.43

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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.