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Finding the Fourth Proportional to 200,683.50, 301,171.86 and 161,711.16

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Solution

The fourth proportional to 200,683.50, 301,171.86 and 161,711.16 is: 242,684.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,683.50 : 301,171.86 = 161,711.16 : x
  2. Step 2: Convert to fraction form
    200,683.50/301,171.86 = 161,711.16/x
  3. Step 3: Cross multiply
    200,683.50x = 301,171.86 × 161,711.16
  4. Step 4: Simplify right side
    200,683.50x = 48,702,850,839.96
  5. Step 5: Solve for x
    x = 48,702,850,839.96/200,683.50
  6. Step 6: Final answer
    x = 242,684.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.