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Finding the Fourth Proportional to 195,168, 269,332.02 and 105,744

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Solution

The fourth proportional to 195,168, 269,332.02 and 105,744 is: 145,926.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,168 : 269,332.02 = 105,744 : x
  2. Step 2: Convert to fraction form
    195,168/269,332.02 = 105,744/x
  3. Step 3: Cross multiply
    195,168x = 269,332.02 × 105,744
  4. Step 4: Simplify right side
    195,168x = 28,480,245,122.88
  5. Step 5: Solve for x
    x = 28,480,245,122.88/195,168
  6. Step 6: Final answer
    x = 145,926.82

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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.