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Finding the Fourth Proportional to 205,523.52, 283,622.36 and 120,640.58

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Solution

The fourth proportional to 205,523.52, 283,622.36 and 120,640.58 is: 166,483.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,523.52 : 283,622.36 = 120,640.58 : x
  2. Step 2: Convert to fraction form
    205,523.52/283,622.36 = 120,640.58/x
  3. Step 3: Cross multiply
    205,523.52x = 283,622.36 × 120,640.58
  4. Step 4: Simplify right side
    205,523.52x = 34,216,366,011.37
  5. Step 5: Solve for x
    x = 34,216,366,011.37/205,523.52
  6. Step 6: Final answer
    x = 166,483.94

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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.