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Finding the Fourth Proportional to 302,047.86, 416,836.74 and 166,092.12

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Solution

The fourth proportional to 302,047.86, 416,836.74 and 166,092.12 is: 229,213.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,047.86 : 416,836.74 = 166,092.12 : x
  2. Step 2: Convert to fraction form
    302,047.86/416,836.74 = 166,092.12/x
  3. Step 3: Cross multiply
    302,047.86x = 416,836.74 × 166,092.12
  4. Step 4: Simplify right side
    302,047.86x = 69,233,297,840.49
  5. Step 5: Solve for x
    x = 69,233,297,840.49/302,047.86
  6. Step 6: Final answer
    x = 229,213.01

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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.