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Finding the Fourth Proportional to 190,537.56, 285,806.34 and 78,198.66

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Solution

The fourth proportional to 190,537.56, 285,806.34 and 78,198.66 is: 117,297.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,537.56 : 285,806.34 = 78,198.66 : x
  2. Step 2: Convert to fraction form
    190,537.56/285,806.34 = 78,198.66/x
  3. Step 3: Cross multiply
    190,537.56x = 285,806.34 × 78,198.66
  4. Step 4: Simplify right side
    190,537.56x = 22,349,672,807.50
  5. Step 5: Solve for x
    x = 22,349,672,807.50/190,537.56
  6. Step 6: Final answer
    x = 117,297.99

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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.