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Finding the Fourth Proportional to 137,496.60, 206,266.26 and 58,611

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Solution

The fourth proportional to 137,496.60, 206,266.26 and 58,611 is: 87,925.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,496.60 : 206,266.26 = 58,611 : x
  2. Step 2: Convert to fraction form
    137,496.60/206,266.26 = 58,611/x
  3. Step 3: Cross multiply
    137,496.60x = 206,266.26 × 58,611
  4. Step 4: Simplify right side
    137,496.60x = 12,089,471,764.86
  5. Step 5: Solve for x
    x = 12,089,471,764.86/137,496.60
  6. Step 6: Final answer
    x = 87,925.61

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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.