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Finding the Fourth Proportional to 195,357, 269,592.66 and 105,933

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Solution

The fourth proportional to 195,357, 269,592.66 and 105,933 is: 146,187.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,357 : 269,592.66 = 105,933 : x
  2. Step 2: Convert to fraction form
    195,357/269,592.66 = 105,933/x
  3. Step 3: Cross multiply
    195,357x = 269,592.66 × 105,933
  4. Step 4: Simplify right side
    195,357x = 28,558,759,251.78
  5. Step 5: Solve for x
    x = 28,558,759,251.78/195,357
  6. Step 6: Final answer
    x = 146,187.54

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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.