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Finding the Fourth Proportional to 277,004.29, 382,296.30 and 160,743.37

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Solution

The fourth proportional to 277,004.29, 382,296.30 and 160,743.37 is: 221,843.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,004.29 : 382,296.30 = 160,743.37 : x
  2. Step 2: Convert to fraction form
    277,004.29/382,296.30 = 160,743.37/x
  3. Step 3: Cross multiply
    277,004.29x = 382,296.30 × 160,743.37
  4. Step 4: Simplify right side
    277,004.29x = 61,451,594,796.81
  5. Step 5: Solve for x
    x = 61,451,594,796.81/277,004.29
  6. Step 6: Final answer
    x = 221,843.48

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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.