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Finding the Fourth Proportional to 260,408.14, 359,396.37 and 145,693.22

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Solution

The fourth proportional to 260,408.14, 359,396.37 and 145,693.22 is: 201,075.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,408.14 : 359,396.37 = 145,693.22 : x
  2. Step 2: Convert to fraction form
    260,408.14/359,396.37 = 145,693.22/x
  3. Step 3: Cross multiply
    260,408.14x = 359,396.37 × 145,693.22
  4. Step 4: Simplify right side
    260,408.14x = 52,361,612,604.63
  5. Step 5: Solve for x
    x = 52,361,612,604.63/260,408.14
  6. Step 6: Final answer
    x = 201,075.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.