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Finding the Fourth Proportional to 205,262.72, 283,263.84 and 120,381.44

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Solution

The fourth proportional to 205,262.72, 283,263.84 and 120,381.44 is: 166,127.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,262.72 : 283,263.84 = 120,381.44 : x
  2. Step 2: Convert to fraction form
    205,262.72/283,263.84 = 120,381.44/x
  3. Step 3: Cross multiply
    205,262.72x = 283,263.84 × 120,381.44
  4. Step 4: Simplify right side
    205,262.72x = 34,099,708,959.13
  5. Step 5: Solve for x
    x = 34,099,708,959.13/205,262.72
  6. Step 6: Final answer
    x = 166,127.14

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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.