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Finding the Fourth Proportional to 205,117.88, 283,073.74 and 120,262.28

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Solution

The fourth proportional to 205,117.88, 283,073.74 and 120,262.28 is: 165,968.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,117.88 : 283,073.74 = 120,262.28 : x
  2. Step 2: Convert to fraction form
    205,117.88/283,073.74 = 120,262.28/x
  3. Step 3: Cross multiply
    205,117.88x = 283,073.74 × 120,262.28
  4. Step 4: Simplify right side
    205,117.88x = 34,043,091,664.50
  5. Step 5: Solve for x
    x = 34,043,091,664.50/205,117.88
  6. Step 6: Final answer
    x = 165,968.43

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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.