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Finding the Fourth Proportional to 150,355.44, 207,453.96 and 83,287.44

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Solution

The fourth proportional to 150,355.44, 207,453.96 and 83,287.44 is: 114,916.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,355.44 : 207,453.96 = 83,287.44 : x
  2. Step 2: Convert to fraction form
    150,355.44/207,453.96 = 83,287.44/x
  3. Step 3: Cross multiply
    150,355.44x = 207,453.96 × 83,287.44
  4. Step 4: Simplify right side
    150,355.44x = 17,278,309,246.26
  5. Step 5: Solve for x
    x = 17,278,309,246.26/150,355.44
  6. Step 6: Final answer
    x = 114,916.42

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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.