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Finding the Fourth Proportional to 260,380.41, 359,307.99 and 145,639.18

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Solution

The fourth proportional to 260,380.41, 359,307.99 and 145,639.18 is: 200,972.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,380.41 : 359,307.99 = 145,639.18 : x
  2. Step 2: Convert to fraction form
    260,380.41/359,307.99 = 145,639.18/x
  3. Step 3: Cross multiply
    260,380.41x = 359,307.99 × 145,639.18
  4. Step 4: Simplify right side
    260,380.41x = 52,329,321,031.05
  5. Step 5: Solve for x
    x = 52,329,321,031.05/260,380.41
  6. Step 6: Final answer
    x = 200,972.57

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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.