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Finding the Fourth Proportional to 150,149.07, 207,202.80 and 83,081.07

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Solution

The fourth proportional to 150,149.07, 207,202.80 and 83,081.07 is: 114,650.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,149.07 : 207,202.80 = 83,081.07 : x
  2. Step 2: Convert to fraction form
    150,149.07/207,202.80 = 83,081.07/x
  3. Step 3: Cross multiply
    150,149.07x = 207,202.80 × 83,081.07
  4. Step 4: Simplify right side
    150,149.07x = 17,214,629,915.59
  5. Step 5: Solve for x
    x = 17,214,629,915.59/150,149.07
  6. Step 6: Final answer
    x = 114,650.26

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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.