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Finding the Fourth Proportional to 165,264.93, 227,987.82 and 119,843.28

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Solution

The fourth proportional to 165,264.93, 227,987.82 and 119,843.28 is: 165,327.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,264.93 : 227,987.82 = 119,843.28 : x
  2. Step 2: Convert to fraction form
    165,264.93/227,987.82 = 119,843.28/x
  3. Step 3: Cross multiply
    165,264.93x = 227,987.82 × 119,843.28
  4. Step 4: Simplify right side
    165,264.93x = 27,322,808,148.85
  5. Step 5: Solve for x
    x = 27,322,808,148.85/165,264.93
  6. Step 6: Final answer
    x = 165,327.32

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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.