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Finding the Fourth Proportional to 150,287.14, 207,396.27 and 83,219.14

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Solution

The fourth proportional to 150,287.14, 207,396.27 and 83,219.14 is: 114,842.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,287.14 : 207,396.27 = 83,219.14 : x
  2. Step 2: Convert to fraction form
    150,287.14/207,396.27 = 83,219.14/x
  3. Step 3: Cross multiply
    150,287.14x = 207,396.27 × 83,219.14
  4. Step 4: Simplify right side
    150,287.14x = 17,259,339,228.61
  5. Step 5: Solve for x
    x = 17,259,339,228.61/150,287.14
  6. Step 6: Final answer
    x = 114,842.42

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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.