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Finding the Fourth Proportional to 160,198.41, 240,297.63 and 60,381

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Solution

The fourth proportional to 160,198.41, 240,297.63 and 60,381 is: 90,571.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,198.41 : 240,297.63 = 60,381 : x
  2. Step 2: Convert to fraction form
    160,198.41/240,297.63 = 60,381/x
  3. Step 3: Cross multiply
    160,198.41x = 240,297.63 × 60,381
  4. Step 4: Simplify right side
    160,198.41x = 14,509,411,197.03
  5. Step 5: Solve for x
    x = 14,509,411,197.03/160,198.41
  6. Step 6: Final answer
    x = 90,571.51

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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.