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Finding the Fourth Proportional to 195,096.94, 269,233.77 and 105,672.94

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Solution

The fourth proportional to 195,096.94, 269,233.77 and 105,672.94 is: 145,828.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,096.94 : 269,233.77 = 105,672.94 : x
  2. Step 2: Convert to fraction form
    195,096.94/269,233.77 = 105,672.94/x
  3. Step 3: Cross multiply
    195,096.94x = 269,233.77 × 105,672.94
  4. Step 4: Simplify right side
    195,096.94x = 28,450,723,746.37
  5. Step 5: Solve for x
    x = 28,450,723,746.37/195,096.94
  6. Step 6: Final answer
    x = 145,828.65

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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.