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Finding the Fourth Proportional to 292,165.83, 403,189.26 and 164,853.27

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Solution

The fourth proportional to 292,165.83, 403,189.26 and 164,853.27 is: 227,497.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,165.83 : 403,189.26 = 164,853.27 : x
  2. Step 2: Convert to fraction form
    292,165.83/403,189.26 = 164,853.27/x
  3. Step 3: Cross multiply
    292,165.83x = 403,189.26 × 164,853.27
  4. Step 4: Simplify right side
    292,165.83x = 66,467,067,939.88
  5. Step 5: Solve for x
    x = 66,467,067,939.88/292,165.83
  6. Step 6: Final answer
    x = 227,497.75

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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.