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Finding the Fourth Proportional to 200,827.99, 301,243.02 and 67,709.40

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Solution

The fourth proportional to 200,827.99, 301,243.02 and 67,709.40 is: 101,564.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,827.99 : 301,243.02 = 67,709.40 : x
  2. Step 2: Convert to fraction form
    200,827.99/301,243.02 = 67,709.40/x
  3. Step 3: Cross multiply
    200,827.99x = 301,243.02 × 67,709.40
  4. Step 4: Simplify right side
    200,827.99x = 20,396,984,138.39
  5. Step 5: Solve for x
    x = 20,396,984,138.39/200,827.99
  6. Step 6: Final answer
    x = 101,564.45

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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.