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Finding the Fourth Proportional to 200,564.40, 300,773.70 and 100,691.40

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Solution

The fourth proportional to 200,564.40, 300,773.70 and 100,691.40 is: 151,000.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,564.40 : 300,773.70 = 100,691.40 : x
  2. Step 2: Convert to fraction form
    200,564.40/300,773.70 = 100,691.40/x
  3. Step 3: Cross multiply
    200,564.40x = 300,773.70 × 100,691.40
  4. Step 4: Simplify right side
    200,564.40x = 30,285,324,936.18
  5. Step 5: Solve for x
    x = 30,285,324,936.18/200,564.40
  6. Step 6: Final answer
    x = 151,000.50

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1.5x scale

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.