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Finding the Fourth Proportional to 263,036.90, 362,990.70 and 142,178.19

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Solution

The fourth proportional to 263,036.90, 362,990.70 and 142,178.19 is: 196,205.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,036.90 : 362,990.70 = 142,178.19 : x
  2. Step 2: Convert to fraction form
    263,036.90/362,990.70 = 142,178.19/x
  3. Step 3: Cross multiply
    263,036.90x = 362,990.70 × 142,178.19
  4. Step 4: Simplify right side
    263,036.90x = 51,609,359,351.62
  5. Step 5: Solve for x
    x = 51,609,359,351.62/263,036.90
  6. Step 6: Final answer
    x = 196,205.78

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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.