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Finding the Fourth Proportional to 68,135.04, 102,198.47 and 25,432.25

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Solution

The fourth proportional to 68,135.04, 102,198.47 and 25,432.25 is: 38,146.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,135.04 : 102,198.47 = 25,432.25 : x
  2. Step 2: Convert to fraction form
    68,135.04/102,198.47 = 25,432.25/x
  3. Step 3: Cross multiply
    68,135.04x = 102,198.47 × 25,432.25
  4. Step 4: Simplify right side
    68,135.04x = 2,599,136,400.50
  5. Step 5: Solve for x
    x = 2,599,136,400.50/68,135.04
  6. Step 6: Final answer
    x = 38,146.84

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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.