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Finding the Fourth Proportional to 260,268, 359,169.84 and 141,036

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Solution

The fourth proportional to 260,268, 359,169.84 and 141,036 is: 194,629.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,268 : 359,169.84 = 141,036 : x
  2. Step 2: Convert to fraction form
    260,268/359,169.84 = 141,036/x
  3. Step 3: Cross multiply
    260,268x = 359,169.84 × 141,036
  4. Step 4: Simplify right side
    260,268x = 50,655,877,554.24
  5. Step 5: Solve for x
    x = 50,655,877,554.24/260,268
  6. Step 6: Final answer
    x = 194,629.68

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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.