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Finding the Fourth Proportional to 200,715.61, 301,073.42 and 67,584.72

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Solution

The fourth proportional to 200,715.61, 301,073.42 and 67,584.72 is: 101,377.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,715.61 : 301,073.42 = 67,584.72 : x
  2. Step 2: Convert to fraction form
    200,715.61/301,073.42 = 67,584.72/x
  3. Step 3: Cross multiply
    200,715.61x = 301,073.42 × 67,584.72
  4. Step 4: Simplify right side
    200,715.61x = 20,347,962,790.14
  5. Step 5: Solve for x
    x = 20,347,962,790.14/200,715.61
  6. Step 6: Final answer
    x = 101,377.08

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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.