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Finding the Fourth Proportional to 215,155.98, 322,511.63 and 82,000.49

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Solution

The fourth proportional to 215,155.98, 322,511.63 and 82,000.49 is: 122,915.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,155.98 : 322,511.63 = 82,000.49 : x
  2. Step 2: Convert to fraction form
    215,155.98/322,511.63 = 82,000.49/x
  3. Step 3: Cross multiply
    215,155.98x = 322,511.63 × 82,000.49
  4. Step 4: Simplify right side
    215,155.98x = 26,446,109,668.14
  5. Step 5: Solve for x
    x = 26,446,109,668.14/215,155.98
  6. Step 6: Final answer
    x = 122,915.99

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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.