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Finding the Fourth Proportional to 200,693.41, 300,829.38 and 67,527.43

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Solution

The fourth proportional to 200,693.41, 300,829.38 and 67,527.43 is: 101,220.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,693.41 : 300,829.38 = 67,527.43 : x
  2. Step 2: Convert to fraction form
    200,693.41/300,829.38 = 67,527.43/x
  3. Step 3: Cross multiply
    200,693.41x = 300,829.38 × 67,527.43
  4. Step 4: Simplify right side
    200,693.41x = 20,314,234,899.89
  5. Step 5: Solve for x
    x = 20,314,234,899.89/200,693.41
  6. Step 6: Final answer
    x = 101,220.24

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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.