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Finding the Fourth Proportional to 302,157, 416,985.84 and 166,183.92

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Solution

The fourth proportional to 302,157, 416,985.84 and 166,183.92 is: 229,338.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,157 : 416,985.84 = 166,183.92 : x
  2. Step 2: Convert to fraction form
    302,157/416,985.84 = 166,183.92/x
  3. Step 3: Cross multiply
    302,157x = 416,985.84 × 166,183.92
  4. Step 4: Simplify right side
    302,157x = 69,296,341,475.69
  5. Step 5: Solve for x
    x = 69,296,341,475.69/302,157
  6. Step 6: Final answer
    x = 229,338.86

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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.