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Finding the Fourth Proportional to 145,270.34, 200,491.86 and 81,608.13

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Solution

The fourth proportional to 145,270.34, 200,491.86 and 81,608.13 is: 112,629.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,270.34 : 200,491.86 = 81,608.13 : x
  2. Step 2: Convert to fraction form
    145,270.34/200,491.86 = 81,608.13/x
  3. Step 3: Cross multiply
    145,270.34x = 200,491.86 × 81,608.13
  4. Step 4: Simplify right side
    145,270.34x = 16,361,766,185.69
  5. Step 5: Solve for x
    x = 16,361,766,185.69/145,270.34
  6. Step 6: Final answer
    x = 112,629.78

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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.