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Finding the Fourth Proportional to 150,656.31, 207,905.13 and 82,674.42

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Solution

The fourth proportional to 150,656.31, 207,905.13 and 82,674.42 is: 114,090.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,656.31 : 207,905.13 = 82,674.42 : x
  2. Step 2: Convert to fraction form
    150,656.31/207,905.13 = 82,674.42/x
  3. Step 3: Cross multiply
    150,656.31x = 207,905.13 × 82,674.42
  4. Step 4: Simplify right side
    150,656.31x = 17,188,436,037.77
  5. Step 5: Solve for x
    x = 17,188,436,037.77/150,656.31
  6. Step 6: Final answer
    x = 114,090.38

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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.