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Finding the Fourth Proportional to 208,262.27, 312,405.50 and 58,514.22

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Solution

The fourth proportional to 208,262.27, 312,405.50 and 58,514.22 is: 87,774.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,262.27 : 312,405.50 = 58,514.22 : x
  2. Step 2: Convert to fraction form
    208,262.27/312,405.50 = 58,514.22/x
  3. Step 3: Cross multiply
    208,262.27x = 312,405.50 × 58,514.22
  4. Step 4: Simplify right side
    208,262.27x = 18,280,163,863.64
  5. Step 5: Solve for x
    x = 18,280,163,863.64/208,262.27
  6. Step 6: Final answer
    x = 87,774.73

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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.