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Finding the Fourth Proportional to 82,202.33, 123,368.31 and 42,219.69

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Solution

The fourth proportional to 82,202.33, 123,368.31 and 42,219.69 is: 63,362.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,202.33 : 123,368.31 = 42,219.69 : x
  2. Step 2: Convert to fraction form
    82,202.33/123,368.31 = 42,219.69/x
  3. Step 3: Cross multiply
    82,202.33x = 123,368.31 × 42,219.69
  4. Step 4: Simplify right side
    82,202.33x = 5,208,571,804.02
  5. Step 5: Solve for x
    x = 5,208,571,804.02/82,202.33
  6. Step 6: Final answer
    x = 63,362.83

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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.