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Finding the Fourth Proportional to 263,378.40, 363,459.66 and 142,517.04

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Solution

The fourth proportional to 263,378.40, 363,459.66 and 142,517.04 is: 196,672.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,378.40 : 363,459.66 = 142,517.04 : x
  2. Step 2: Convert to fraction form
    263,378.40/363,459.66 = 142,517.04/x
  3. Step 3: Cross multiply
    263,378.40x = 363,459.66 × 142,517.04
  4. Step 4: Simplify right side
    263,378.40x = 51,799,194,902.61
  5. Step 5: Solve for x
    x = 51,799,194,902.61/263,378.40
  6. Step 6: Final answer
    x = 196,672.15

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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.