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Finding the Fourth Proportional to 302,048.34, 416,837.40 and 166,092.62

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Solution

The fourth proportional to 302,048.34, 416,837.40 and 166,092.62 is: 229,213.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,048.34 : 416,837.40 = 166,092.62 : x
  2. Step 2: Convert to fraction form
    302,048.34/416,837.40 = 166,092.62/x
  3. Step 3: Cross multiply
    302,048.34x = 416,837.40 × 166,092.62
  4. Step 4: Simplify right side
    302,048.34x = 69,233,615,879.99
  5. Step 5: Solve for x
    x = 69,233,615,879.99/302,048.34
  6. Step 6: Final answer
    x = 229,213.69

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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.