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Finding the Fourth Proportional to 232,709.44, 349,116 and 127,474.24

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Solution

The fourth proportional to 232,709.44, 349,116 and 127,474.24 is: 191,239.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,709.44 : 349,116 = 127,474.24 : x
  2. Step 2: Convert to fraction form
    232,709.44/349,116 = 127,474.24/x
  3. Step 3: Cross multiply
    232,709.44x = 349,116 × 127,474.24
  4. Step 4: Simplify right side
    232,709.44x = 44,503,296,771.84
  5. Step 5: Solve for x
    x = 44,503,296,771.84/232,709.44
  6. Step 6: Final answer
    x = 191,239.76

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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.