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Finding the Fourth Proportional to 259,616.10, 389,464.66 and 82,106.22

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Solution

The fourth proportional to 259,616.10, 389,464.66 and 82,106.22 is: 123,172.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,616.10 : 389,464.66 = 82,106.22 : x
  2. Step 2: Convert to fraction form
    259,616.10/389,464.66 = 82,106.22/x
  3. Step 3: Cross multiply
    259,616.10x = 389,464.66 × 82,106.22
  4. Step 4: Simplify right side
    259,616.10x = 31,977,471,056.19
  5. Step 5: Solve for x
    x = 31,977,471,056.19/259,616.10
  6. Step 6: Final answer
    x = 123,172.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.