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Finding the Fourth Proportional to 200,597.87, 301,164.06 and 116,418.46

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Solution

The fourth proportional to 200,597.87, 301,164.06 and 116,418.46 is: 174,782.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,597.87 : 301,164.06 = 116,418.46 : x
  2. Step 2: Convert to fraction form
    200,597.87/301,164.06 = 116,418.46/x
  3. Step 3: Cross multiply
    200,597.87x = 301,164.06 × 116,418.46
  4. Step 4: Simplify right side
    200,597.87x = 35,061,056,072.55
  5. Step 5: Solve for x
    x = 35,061,056,072.55/200,597.87
  6. Step 6: Final answer
    x = 174,782.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.