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Finding the Fourth Proportional to 218,097.52, 327,012.30 and 84,822.43

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Solution

The fourth proportional to 218,097.52, 327,012.30 and 84,822.43 is: 127,181.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,097.52 : 327,012.30 = 84,822.43 : x
  2. Step 2: Convert to fraction form
    218,097.52/327,012.30 = 84,822.43/x
  3. Step 3: Cross multiply
    218,097.52x = 327,012.30 × 84,822.43
  4. Step 4: Simplify right side
    218,097.52x = 27,737,977,925.89
  5. Step 5: Solve for x
    x = 27,737,977,925.89/218,097.52
  6. Step 6: Final answer
    x = 127,181.54

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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.