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Finding the Fourth Proportional to 200,791, 301,125.06 and 67,635.56

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Solution

The fourth proportional to 200,791, 301,125.06 and 67,635.56 is: 101,432.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,791 : 301,125.06 = 67,635.56 : x
  2. Step 2: Convert to fraction form
    200,791/301,125.06 = 67,635.56/x
  3. Step 3: Cross multiply
    200,791x = 301,125.06 × 67,635.56
  4. Step 4: Simplify right side
    200,791x = 20,366,762,063.13
  5. Step 5: Solve for x
    x = 20,366,762,063.13/200,791
  6. Step 6: Final answer
    x = 101,432.64

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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.