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Finding the Fourth Proportional to 200,297.06, 276,416.47 and 109,653.00

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Solution

The fourth proportional to 200,297.06, 276,416.47 and 109,653.00 is: 151,324.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,297.06 : 276,416.47 = 109,653.00 : x
  2. Step 2: Convert to fraction form
    200,297.06/276,416.47 = 109,653.00/x
  3. Step 3: Cross multiply
    200,297.06x = 276,416.47 × 109,653.00
  4. Step 4: Simplify right side
    200,297.06x = 30,309,893,668.62
  5. Step 5: Solve for x
    x = 30,309,893,668.62/200,297.06
  6. Step 6: Final answer
    x = 151,324.71

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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.