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Finding the Fourth Proportional to 212,715.99, 319,049.28 and 54,932.04

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Solution

The fourth proportional to 212,715.99, 319,049.28 and 54,932.04 is: 82,391.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,715.99 : 319,049.28 = 54,932.04 : x
  2. Step 2: Convert to fraction form
    212,715.99/319,049.28 = 54,932.04/x
  3. Step 3: Cross multiply
    212,715.99x = 319,049.28 × 54,932.04
  4. Step 4: Simplify right side
    212,715.99x = 17,526,027,810.93
  5. Step 5: Solve for x
    x = 17,526,027,810.93/212,715.99
  6. Step 6: Final answer
    x = 82,391.68

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Why These Related Problems?

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