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Finding the Fourth Proportional to 82,224.10, 123,340.20 and 42,858.10

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Solution

The fourth proportional to 82,224.10, 123,340.20 and 42,858.10 is: 64,289.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,224.10 : 123,340.20 = 42,858.10 : x
  2. Step 2: Convert to fraction form
    82,224.10/123,340.20 = 42,858.10/x
  3. Step 3: Cross multiply
    82,224.10x = 123,340.20 × 42,858.10
  4. Step 4: Simplify right side
    82,224.10x = 5,286,126,625.62
  5. Step 5: Solve for x
    x = 5,286,126,625.62/82,224.10
  6. Step 6: Final answer
    x = 64,289.26

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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.