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Finding the Fourth Proportional to 145,072.92, 200,197.26 and 81,409.08

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Solution

The fourth proportional to 145,072.92, 200,197.26 and 81,409.08 is: 112,342.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,072.92 : 200,197.26 = 81,409.08 : x
  2. Step 2: Convert to fraction form
    145,072.92/200,197.26 = 81,409.08/x
  3. Step 3: Cross multiply
    145,072.92x = 200,197.26 × 81,409.08
  4. Step 4: Simplify right side
    145,072.92x = 16,297,874,755.12
  5. Step 5: Solve for x
    x = 16,297,874,755.12/145,072.92
  6. Step 6: Final answer
    x = 112,342.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.