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Finding the Fourth Proportional to 195,237, 269,427.24 and 105,813

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Solution

The fourth proportional to 195,237, 269,427.24 and 105,813 is: 146,022.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,237 : 269,427.24 = 105,813 : x
  2. Step 2: Convert to fraction form
    195,237/269,427.24 = 105,813/x
  3. Step 3: Cross multiply
    195,237x = 269,427.24 × 105,813
  4. Step 4: Simplify right side
    195,237x = 28,508,904,546.12
  5. Step 5: Solve for x
    x = 28,508,904,546.12/195,237
  6. Step 6: Final answer
    x = 146,022.04

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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.