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Finding the Fourth Proportional to 205,381.36, 283,428.44 and 120,499.84

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Solution

The fourth proportional to 205,381.36, 283,428.44 and 120,499.84 is: 166,291.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,381.36 : 283,428.44 = 120,499.84 : x
  2. Step 2: Convert to fraction form
    205,381.36/283,428.44 = 120,499.84/x
  3. Step 3: Cross multiply
    205,381.36x = 283,428.44 × 120,499.84
  4. Step 4: Simplify right side
    205,381.36x = 34,153,081,671.45
  5. Step 5: Solve for x
    x = 34,153,081,671.45/205,381.36
  6. Step 6: Final answer
    x = 166,291.05

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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.