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Finding the Fourth Proportional to 146,273.94, 201,862.02 and 82,621.20

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Solution

The fourth proportional to 146,273.94, 201,862.02 and 82,621.20 is: 114,019.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,273.94 : 201,862.02 = 82,621.20 : x
  2. Step 2: Convert to fraction form
    146,273.94/201,862.02 = 82,621.20/x
  3. Step 3: Cross multiply
    146,273.94x = 201,862.02 × 82,621.20
  4. Step 4: Simplify right side
    146,273.94x = 16,678,082,326.82
  5. Step 5: Solve for x
    x = 16,678,082,326.82/146,273.94
  6. Step 6: Final answer
    x = 114,019.51

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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.