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Finding the Fourth Proportional to 150,266.75, 207,374.60 and 83,198.75

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Solution

The fourth proportional to 150,266.75, 207,374.60 and 83,198.75 is: 114,817.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,266.75 : 207,374.60 = 83,198.75 : x
  2. Step 2: Convert to fraction form
    150,266.75/207,374.60 = 83,198.75/x
  3. Step 3: Cross multiply
    150,266.75x = 207,374.60 × 83,198.75
  4. Step 4: Simplify right side
    150,266.75x = 17,253,307,501.75
  5. Step 5: Solve for x
    x = 17,253,307,501.75/150,266.75
  6. Step 6: Final answer
    x = 114,817.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.