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Finding the Fourth Proportional to 205,103.36, 283,053.36 and 120,247.68

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Solution

The fourth proportional to 205,103.36, 283,053.36 and 120,247.68 is: 165,948.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,103.36 : 283,053.36 = 120,247.68 : x
  2. Step 2: Convert to fraction form
    205,103.36/283,053.36 = 120,247.68/x
  3. Step 3: Cross multiply
    205,103.36x = 283,053.36 × 120,247.68
  4. Step 4: Simplify right side
    205,103.36x = 34,036,509,856.20
  5. Step 5: Solve for x
    x = 34,036,509,856.20/205,103.36
  6. Step 6: Final answer
    x = 165,948.09

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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.