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Finding the Fourth Proportional to 302,057.86, 416,850.54 and 166,102.12

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Solution

The fourth proportional to 302,057.86, 416,850.54 and 166,102.12 is: 229,226.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,057.86 : 416,850.54 = 166,102.12 : x
  2. Step 2: Convert to fraction form
    302,057.86/416,850.54 = 166,102.12/x
  3. Step 3: Cross multiply
    302,057.86x = 416,850.54 × 166,102.12
  4. Step 4: Simplify right side
    302,057.86x = 69,239,758,417.14
  5. Step 5: Solve for x
    x = 69,239,758,417.14/302,057.86
  6. Step 6: Final answer
    x = 229,226.81

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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.