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Finding the Fourth Proportional to 204,596.36, 282,322.74 and 150,910.28

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Solution

The fourth proportional to 204,596.36, 282,322.74 and 150,910.28 is: 208,241.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,596.36 : 282,322.74 = 150,910.28 : x
  2. Step 2: Convert to fraction form
    204,596.36/282,322.74 = 150,910.28/x
  3. Step 3: Cross multiply
    204,596.36x = 282,322.74 × 150,910.28
  4. Step 4: Simplify right side
    204,596.36x = 42,605,403,743.77
  5. Step 5: Solve for x
    x = 42,605,403,743.77/204,596.36
  6. Step 6: Final answer
    x = 208,241.26

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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.