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Finding the Fourth Proportional to 195,225.75, 269,411.72 and 105,801.75

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Solution

The fourth proportional to 195,225.75, 269,411.72 and 105,801.75 is: 146,006.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,225.75 : 269,411.72 = 105,801.75 : x
  2. Step 2: Convert to fraction form
    195,225.75/269,411.72 = 105,801.75/x
  3. Step 3: Cross multiply
    195,225.75x = 269,411.72 × 105,801.75
  4. Step 4: Simplify right side
    195,225.75x = 28,504,230,917.50
  5. Step 5: Solve for x
    x = 28,504,230,917.50/195,225.75
  6. Step 6: Final answer
    x = 146,006.51

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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.