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Finding the Fourth Proportional to 195,292, 269,502.96 and 105,868

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Solution

The fourth proportional to 195,292, 269,502.96 and 105,868 is: 146,097.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,292 : 269,502.96 = 105,868 : x
  2. Step 2: Convert to fraction form
    195,292/269,502.96 = 105,868/x
  3. Step 3: Cross multiply
    195,292x = 269,502.96 × 105,868
  4. Step 4: Simplify right side
    195,292x = 28,531,739,369.28
  5. Step 5: Solve for x
    x = 28,531,739,369.28/195,292
  6. Step 6: Final answer
    x = 146,097.84

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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.