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Finding the Fourth Proportional to 260,531.40, 390,840.30 and 110,843.40

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Solution

The fourth proportional to 260,531.40, 390,840.30 and 110,843.40 is: 166,283.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,531.40 : 390,840.30 = 110,843.40 : x
  2. Step 2: Convert to fraction form
    260,531.40/390,840.30 = 110,843.40/x
  3. Step 3: Cross multiply
    260,531.40x = 390,840.30 × 110,843.40
  4. Step 4: Simplify right side
    260,531.40x = 43,322,067,709.02
  5. Step 5: Solve for x
    x = 43,322,067,709.02/260,531.40
  6. Step 6: Final answer
    x = 166,283.48

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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.