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Finding the Fourth Proportional to 263,322.37, 363,384.89 and 142,463.58

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Solution

The fourth proportional to 263,322.37, 363,384.89 and 142,463.58 is: 196,599.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,322.37 : 363,384.89 = 142,463.58 : x
  2. Step 2: Convert to fraction form
    263,322.37/363,384.89 = 142,463.58/x
  3. Step 3: Cross multiply
    263,322.37x = 363,384.89 × 142,463.58
  4. Step 4: Simplify right side
    263,322.37x = 51,769,112,347.31
  5. Step 5: Solve for x
    x = 51,769,112,347.31/263,322.37
  6. Step 6: Final answer
    x = 196,599.75

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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.