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Finding the Fourth Proportional to 145,194.28, 217,795.74 and 40,021

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Solution

The fourth proportional to 145,194.28, 217,795.74 and 40,021 is: 60,032.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,194.28 : 217,795.74 = 40,021 : x
  2. Step 2: Convert to fraction form
    145,194.28/217,795.74 = 40,021/x
  3. Step 3: Cross multiply
    145,194.28x = 217,795.74 × 40,021
  4. Step 4: Simplify right side
    145,194.28x = 8,716,403,310.54
  5. Step 5: Solve for x
    x = 8,716,403,310.54/145,194.28
  6. Step 6: Final answer
    x = 60,032.69

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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.