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Finding the Fourth Proportional to 260,517.75, 359,514.50 and 147,338.07

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Solution

The fourth proportional to 260,517.75, 359,514.50 and 147,338.07 is: 203,326.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,517.75 : 359,514.50 = 147,338.07 : x
  2. Step 2: Convert to fraction form
    260,517.75/359,514.50 = 147,338.07/x
  3. Step 3: Cross multiply
    260,517.75x = 359,514.50 × 147,338.07
  4. Step 4: Simplify right side
    260,517.75x = 52,970,171,830.32
  5. Step 5: Solve for x
    x = 52,970,171,830.32/260,517.75
  6. Step 6: Final answer
    x = 203,326.54

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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.