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Finding the Fourth Proportional to 145,166.43, 200,329.68 and 81,505.60

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Solution

The fourth proportional to 145,166.43, 200,329.68 and 81,505.60 is: 112,477.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,166.43 : 200,329.68 = 81,505.60 : x
  2. Step 2: Convert to fraction form
    145,166.43/200,329.68 = 81,505.60/x
  3. Step 3: Cross multiply
    145,166.43x = 200,329.68 × 81,505.60
  4. Step 4: Simplify right side
    145,166.43x = 16,327,990,766.21
  5. Step 5: Solve for x
    x = 16,327,990,766.21/145,166.43
  6. Step 6: Final answer
    x = 112,477.73

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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.