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Finding the Fourth Proportional to 301,960.70, 416,711.03 and 166,000.37

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Solution

The fourth proportional to 301,960.70, 416,711.03 and 166,000.37 is: 229,083.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,960.70 : 416,711.03 = 166,000.37 : x
  2. Step 2: Convert to fraction form
    301,960.70/416,711.03 = 166,000.37/x
  3. Step 3: Cross multiply
    301,960.70x = 416,711.03 × 166,000.37
  4. Step 4: Simplify right side
    301,960.70x = 69,174,182,249.52
  5. Step 5: Solve for x
    x = 69,174,182,249.52/301,960.70
  6. Step 6: Final answer
    x = 229,083.40

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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.