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Finding the Fourth Proportional to 150,361.47, 207,490.89 and 82,365.84

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Solution

The fourth proportional to 150,361.47, 207,490.89 and 82,365.84 is: 113,660.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,361.47 : 207,490.89 = 82,365.84 : x
  2. Step 2: Convert to fraction form
    150,361.47/207,490.89 = 82,365.84/x
  3. Step 3: Cross multiply
    150,361.47x = 207,490.89 × 82,365.84
  4. Step 4: Simplify right side
    150,361.47x = 17,090,161,447.20
  5. Step 5: Solve for x
    x = 17,090,161,447.20/150,361.47
  6. Step 6: Final answer
    x = 113,660.51

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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.