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Finding the Fourth Proportional to 165,264.76, 228,067.14 and 89,813.26

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Solution

The fourth proportional to 165,264.76, 228,067.14 and 89,813.26 is: 123,943.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,264.76 : 228,067.14 = 89,813.26 : x
  2. Step 2: Convert to fraction form
    165,264.76/228,067.14 = 89,813.26/x
  3. Step 3: Cross multiply
    165,264.76x = 228,067.14 × 89,813.26
  4. Step 4: Simplify right side
    165,264.76x = 20,483,453,342.28
  5. Step 5: Solve for x
    x = 20,483,453,342.28/165,264.76
  6. Step 6: Final answer
    x = 123,943.26

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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.