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Finding the Fourth Proportional to 302,054.48, 416,844.24 and 166,081.40

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Solution

The fourth proportional to 302,054.48, 416,844.24 and 166,081.40 is: 229,197.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,054.48 : 416,844.24 = 166,081.40 : x
  2. Step 2: Convert to fraction form
    302,054.48/416,844.24 = 166,081.40/x
  3. Step 3: Cross multiply
    302,054.48x = 416,844.24 × 166,081.40
  4. Step 4: Simplify right side
    302,054.48x = 69,230,074,961.14
  5. Step 5: Solve for x
    x = 69,230,074,961.14/302,054.48
  6. Step 6: Final answer
    x = 229,197.31

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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.