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Finding the Fourth Proportional to 208,234.74, 312,364.86 and 58,487.22

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Solution

The fourth proportional to 208,234.74, 312,364.86 and 58,487.22 is: 87,734.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,234.74 : 312,364.86 = 58,487.22 : x
  2. Step 2: Convert to fraction form
    208,234.74/312,364.86 = 58,487.22/x
  3. Step 3: Cross multiply
    208,234.74x = 312,364.86 × 58,487.22
  4. Step 4: Simplify right side
    208,234.74x = 18,269,352,287.09
  5. Step 5: Solve for x
    x = 18,269,352,287.09/208,234.74
  6. Step 6: Final answer
    x = 87,734.41

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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.