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Finding the Fourth Proportional to 195,345, 269,576.22 and 105,921

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Solution

The fourth proportional to 195,345, 269,576.22 and 105,921 is: 146,171.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,345 : 269,576.22 = 105,921 : x
  2. Step 2: Convert to fraction form
    195,345/269,576.22 = 105,921/x
  3. Step 3: Cross multiply
    195,345x = 269,576.22 × 105,921
  4. Step 4: Simplify right side
    195,345x = 28,553,782,798.62
  5. Step 5: Solve for x
    x = 28,553,782,798.62/195,345
  6. Step 6: Final answer
    x = 146,171.05

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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.