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Finding the Fourth Proportional to 200,903.70, 300,946.59 and 161,246.10

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Solution

The fourth proportional to 200,903.70, 300,946.59 and 161,246.10 is: 241,540.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,903.70 : 300,946.59 = 161,246.10 : x
  2. Step 2: Convert to fraction form
    200,903.70/300,946.59 = 161,246.10/x
  3. Step 3: Cross multiply
    200,903.70x = 300,946.59 × 161,246.10
  4. Step 4: Simplify right side
    200,903.70x = 48,526,463,945.80
  5. Step 5: Solve for x
    x = 48,526,463,945.80/200,903.70
  6. Step 6: Final answer
    x = 241,540.92

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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.