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Finding the Fourth Proportional to 200,472.36, 276,642.05 and 109,828.77

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Solution

The fourth proportional to 200,472.36, 276,642.05 and 109,828.77 is: 151,558.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,472.36 : 276,642.05 = 109,828.77 : x
  2. Step 2: Convert to fraction form
    200,472.36/276,642.05 = 109,828.77/x
  3. Step 3: Cross multiply
    200,472.36x = 276,642.05 × 109,828.77
  4. Step 4: Simplify right side
    200,472.36x = 30,383,255,532.63
  5. Step 5: Solve for x
    x = 30,383,255,532.63/200,472.36
  6. Step 6: Final answer
    x = 151,558.33

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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.