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Finding the Fourth Proportional to 208,575.90, 312,676.74 and 75,424.86

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Solution

The fourth proportional to 208,575.90, 312,676.74 and 75,424.86 is: 113,069.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,575.90 : 312,676.74 = 75,424.86 : x
  2. Step 2: Convert to fraction form
    208,575.90/312,676.74 = 75,424.86/x
  3. Step 3: Cross multiply
    208,575.90x = 312,676.74 × 75,424.86
  4. Step 4: Simplify right side
    208,575.90x = 23,583,599,339.76
  5. Step 5: Solve for x
    x = 23,583,599,339.76/208,575.90
  6. Step 6: Final answer
    x = 113,069.63

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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.