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Finding the Fourth Proportional to 200,097.82, 300,147.18 and 81,769.15

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Solution

The fourth proportional to 200,097.82, 300,147.18 and 81,769.15 is: 122,653.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,097.82 : 300,147.18 = 81,769.15 : x
  2. Step 2: Convert to fraction form
    200,097.82/300,147.18 = 81,769.15/x
  3. Step 3: Cross multiply
    200,097.82x = 300,147.18 × 81,769.15
  4. Step 4: Simplify right side
    200,097.82x = 24,542,779,783.50
  5. Step 5: Solve for x
    x = 24,542,779,783.50/200,097.82
  6. Step 6: Final answer
    x = 122,653.91

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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.