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Finding the Fourth Proportional to 150,047.63, 207,062.81 and 82,064.39

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Solution

The fourth proportional to 150,047.63, 207,062.81 and 82,064.39 is: 113,247.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,047.63 : 207,062.81 = 82,064.39 : x
  2. Step 2: Convert to fraction form
    150,047.63/207,062.81 = 82,064.39/x
  3. Step 3: Cross multiply
    150,047.63x = 207,062.81 × 82,064.39
  4. Step 4: Simplify right side
    150,047.63x = 16,992,481,748.70
  5. Step 5: Solve for x
    x = 16,992,481,748.70/150,047.63
  6. Step 6: Final answer
    x = 113,247.25

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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.