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Finding the Fourth Proportional to 343,258.26, 514,921.98 and 90,556.21

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Solution

The fourth proportional to 343,258.26, 514,921.98 and 90,556.21 is: 135,843.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,258.26 : 514,921.98 = 90,556.21 : x
  2. Step 2: Convert to fraction form
    343,258.26/514,921.98 = 90,556.21/x
  3. Step 3: Cross multiply
    343,258.26x = 514,921.98 × 90,556.21
  4. Step 4: Simplify right side
    343,258.26x = 46,629,382,954.50
  5. Step 5: Solve for x
    x = 46,629,382,954.50/343,258.26
  6. Step 6: Final answer
    x = 135,843.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.