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Finding the Fourth Proportional to 205,217.36, 283,185.36 and 120,318

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Solution

The fourth proportional to 205,217.36, 283,185.36 and 120,318 is: 166,030.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,217.36 : 283,185.36 = 120,318 : x
  2. Step 2: Convert to fraction form
    205,217.36/283,185.36 = 120,318/x
  3. Step 3: Cross multiply
    205,217.36x = 283,185.36 × 120,318
  4. Step 4: Simplify right side
    205,217.36x = 34,072,296,144.48
  5. Step 5: Solve for x
    x = 34,072,296,144.48/205,217.36
  6. Step 6: Final answer
    x = 166,030.28

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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.