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Finding the Fourth Proportional to 204,936, 282,811.68 and 115,515.20

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Solution

The fourth proportional to 204,936, 282,811.68 and 115,515.20 is: 159,410.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,936 : 282,811.68 = 115,515.20 : x
  2. Step 2: Convert to fraction form
    204,936/282,811.68 = 115,515.20/x
  3. Step 3: Cross multiply
    204,936x = 282,811.68 × 115,515.20
  4. Step 4: Simplify right side
    204,936x = 32,669,047,777.54
  5. Step 5: Solve for x
    x = 32,669,047,777.54/204,936
  6. Step 6: Final answer
    x = 159,410.98

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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.