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Finding the Fourth Proportional to 200,685.30, 301,078.15 and 141,636.30

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Solution

The fourth proportional to 200,685.30, 301,078.15 and 141,636.30 is: 212,489.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,685.30 : 301,078.15 = 141,636.30 : x
  2. Step 2: Convert to fraction form
    200,685.30/301,078.15 = 141,636.30/x
  3. Step 3: Cross multiply
    200,685.30x = 301,078.15 × 141,636.30
  4. Step 4: Simplify right side
    200,685.30x = 42,643,595,176.85
  5. Step 5: Solve for x
    x = 42,643,595,176.85/200,685.30
  6. Step 6: Final answer
    x = 212,489.88

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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.