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Finding the Fourth Proportional to 190,201.08, 285,349 and 57,083.78

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Solution

The fourth proportional to 190,201.08, 285,349 and 57,083.78 is: 85,639.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,201.08 : 285,349 = 57,083.78 : x
  2. Step 2: Convert to fraction form
    190,201.08/285,349 = 57,083.78/x
  3. Step 3: Cross multiply
    190,201.08x = 285,349 × 57,083.78
  4. Step 4: Simplify right side
    190,201.08x = 16,288,799,539.22
  5. Step 5: Solve for x
    x = 16,288,799,539.22/190,201.08
  6. Step 6: Final answer
    x = 85,639.89

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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.