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Finding the Fourth Proportional to 212,934.99, 319,402.50 and 55,163.46

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Solution

The fourth proportional to 212,934.99, 319,402.50 and 55,163.46 is: 82,745.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,934.99 : 319,402.50 = 55,163.46 : x
  2. Step 2: Convert to fraction form
    212,934.99/319,402.50 = 55,163.46/x
  3. Step 3: Cross multiply
    212,934.99x = 319,402.50 × 55,163.46
  4. Step 4: Simplify right side
    212,934.99x = 17,619,347,032.65
  5. Step 5: Solve for x
    x = 17,619,347,032.65/212,934.99
  6. Step 6: Final answer
    x = 82,745.19

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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.