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Finding the Fourth Proportional to 229,099.86, 343,783.77 and 95,968.86

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Solution

The fourth proportional to 229,099.86, 343,783.77 and 95,968.86 is: 144,009.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,099.86 : 343,783.77 = 95,968.86 : x
  2. Step 2: Convert to fraction form
    229,099.86/343,783.77 = 95,968.86/x
  3. Step 3: Cross multiply
    229,099.86x = 343,783.77 × 95,968.86
  4. Step 4: Simplify right side
    229,099.86x = 32,992,536,493.40
  5. Step 5: Solve for x
    x = 32,992,536,493.40/229,099.86
  6. Step 6: Final answer
    x = 144,009.41

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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.