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Finding the Fourth Proportional to 180,236.96, 248,717 and 99,659.68

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Solution

The fourth proportional to 180,236.96, 248,717 and 99,659.68 is: 137,524.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,236.96 : 248,717 = 99,659.68 : x
  2. Step 2: Convert to fraction form
    180,236.96/248,717 = 99,659.68/x
  3. Step 3: Cross multiply
    180,236.96x = 248,717 × 99,659.68
  4. Step 4: Simplify right side
    180,236.96x = 24,787,056,630.56
  5. Step 5: Solve for x
    x = 24,787,056,630.56/180,236.96
  6. Step 6: Final answer
    x = 137,524.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.