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Finding the Fourth Proportional to 263,550.36, 363,699.01 and 142,691.63

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Solution

The fourth proportional to 263,550.36, 363,699.01 and 142,691.63 is: 196,914.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,550.36 : 363,699.01 = 142,691.63 : x
  2. Step 2: Convert to fraction form
    263,550.36/363,699.01 = 142,691.63/x
  3. Step 3: Cross multiply
    263,550.36x = 363,699.01 × 142,691.63
  4. Step 4: Simplify right side
    263,550.36x = 51,896,802,926.16
  5. Step 5: Solve for x
    x = 51,896,802,926.16/263,550.36
  6. Step 6: Final answer
    x = 196,914.18

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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.