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Finding the Fourth Proportional to 195,173.44, 269,339.52 and 105,749.44

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Solution

The fourth proportional to 195,173.44, 269,339.52 and 105,749.44 is: 145,934.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,173.44 : 269,339.52 = 105,749.44 : x
  2. Step 2: Convert to fraction form
    195,173.44/269,339.52 = 105,749.44/x
  3. Step 3: Cross multiply
    195,173.44x = 269,339.52 × 105,749.44
  4. Step 4: Simplify right side
    195,173.44x = 28,482,503,409.87
  5. Step 5: Solve for x
    x = 28,482,503,409.87/195,173.44
  6. Step 6: Final answer
    x = 145,934.32

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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.