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Finding the Fourth Proportional to 205,853.49, 284,043.51 and 120,986.91

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Solution

The fourth proportional to 205,853.49, 284,043.51 and 120,986.91 is: 166,941.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,853.49 : 284,043.51 = 120,986.91 : x
  2. Step 2: Convert to fraction form
    205,853.49/284,043.51 = 120,986.91/x
  3. Step 3: Cross multiply
    205,853.49x = 284,043.51 × 120,986.91
  4. Step 4: Simplify right side
    205,853.49x = 34,365,546,580.45
  5. Step 5: Solve for x
    x = 34,365,546,580.45/205,853.49
  6. Step 6: Final answer
    x = 166,941.77

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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.