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Finding the Fourth Proportional to 230,099.85, 344,500.92 and 121,783.86

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Solution

The fourth proportional to 230,099.85, 344,500.92 and 121,783.86 is: 182,332.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,099.85 : 344,500.92 = 121,783.86 : x
  2. Step 2: Convert to fraction form
    230,099.85/344,500.92 = 121,783.86/x
  3. Step 3: Cross multiply
    230,099.85x = 344,500.92 × 121,783.86
  4. Step 4: Simplify right side
    230,099.85x = 41,954,651,811.15
  5. Step 5: Solve for x
    x = 41,954,651,811.15/230,099.85
  6. Step 6: Final answer
    x = 182,332.37

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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.