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Finding the Fourth Proportional to 150,204.75, 207,285.80 and 83,136.75

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Solution

The fourth proportional to 150,204.75, 207,285.80 and 83,136.75 is: 114,730.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,204.75 : 207,285.80 = 83,136.75 : x
  2. Step 2: Convert to fraction form
    150,204.75/207,285.80 = 83,136.75/x
  3. Step 3: Cross multiply
    150,204.75x = 207,285.80 × 83,136.75
  4. Step 4: Simplify right side
    150,204.75x = 17,233,067,317.47
  5. Step 5: Solve for x
    x = 17,233,067,317.47/150,204.75
  6. Step 6: Final answer
    x = 114,730.51

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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.