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Finding the Fourth Proportional to 263,563.62, 363,716.13 and 142,704.53

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Solution

The fourth proportional to 263,563.62, 363,716.13 and 142,704.53 is: 196,931.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,563.62 : 363,716.13 = 142,704.53 : x
  2. Step 2: Convert to fraction form
    263,563.62/363,716.13 = 142,704.53/x
  3. Step 3: Cross multiply
    263,563.62x = 363,716.13 × 142,704.53
  4. Step 4: Simplify right side
    263,563.62x = 51,903,939,465.57
  5. Step 5: Solve for x
    x = 51,903,939,465.57/263,563.62
  6. Step 6: Final answer
    x = 196,931.35

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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.