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Finding the Fourth Proportional to 145,324.41, 200,566.47 and 81,662.21

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Solution

The fourth proportional to 145,324.41, 200,566.47 and 81,662.21 is: 112,704.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,324.41 : 200,566.47 = 81,662.21 : x
  2. Step 2: Convert to fraction form
    145,324.41/200,566.47 = 81,662.21/x
  3. Step 3: Cross multiply
    145,324.41x = 200,566.47 × 81,662.21
  4. Step 4: Simplify right side
    145,324.41x = 16,378,701,247.62
  5. Step 5: Solve for x
    x = 16,378,701,247.62/145,324.41
  6. Step 6: Final answer
    x = 112,704.41

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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.