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Finding the Fourth Proportional to 200,715.46, 301,073.20 and 67,584.58

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Solution

The fourth proportional to 200,715.46, 301,073.20 and 67,584.58 is: 101,376.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,715.46 : 301,073.20 = 67,584.58 : x
  2. Step 2: Convert to fraction form
    200,715.46/301,073.20 = 67,584.58/x
  3. Step 3: Cross multiply
    200,715.46x = 301,073.20 × 67,584.58
  4. Step 4: Simplify right side
    200,715.46x = 20,347,905,771.26
  5. Step 5: Solve for x
    x = 20,347,905,771.26/200,715.46
  6. Step 6: Final answer
    x = 101,376.87

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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.