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Finding the Fourth Proportional to 302,163.77, 416,986.83 and 166,211.64

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Solution

The fourth proportional to 302,163.77, 416,986.83 and 166,211.64 is: 229,372.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,163.77 : 416,986.83 = 166,211.64 : x
  2. Step 2: Convert to fraction form
    302,163.77/416,986.83 = 166,211.64/x
  3. Step 3: Cross multiply
    302,163.77x = 416,986.83 × 166,211.64
  4. Step 4: Simplify right side
    302,163.77x = 69,308,065,499.64
  5. Step 5: Solve for x
    x = 69,308,065,499.64/302,163.77
  6. Step 6: Final answer
    x = 229,372.52

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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.