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Finding the Fourth Proportional to 271,049.08, 406,415.94 and 102,582.40

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Solution

The fourth proportional to 271,049.08, 406,415.94 and 102,582.40 is: 153,813.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,049.08 : 406,415.94 = 102,582.40 : x
  2. Step 2: Convert to fraction form
    271,049.08/406,415.94 = 102,582.40/x
  3. Step 3: Cross multiply
    271,049.08x = 406,415.94 × 102,582.40
  4. Step 4: Simplify right side
    271,049.08x = 41,691,122,523.46
  5. Step 5: Solve for x
    x = 41,691,122,523.46/271,049.08
  6. Step 6: Final answer
    x = 153,813.92

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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.