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Finding the Fourth Proportional to 150,232.26, 207,320.50 and 83,164.26

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Solution

The fourth proportional to 150,232.26, 207,320.50 and 83,164.26 is: 114,766.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,232.26 : 207,320.50 = 83,164.26 : x
  2. Step 2: Convert to fraction form
    150,232.26/207,320.50 = 83,164.26/x
  3. Step 3: Cross multiply
    150,232.26x = 207,320.50 × 83,164.26
  4. Step 4: Simplify right side
    150,232.26x = 17,241,655,965.33
  5. Step 5: Solve for x
    x = 17,241,655,965.33/150,232.26
  6. Step 6: Final answer
    x = 114,766.67

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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.