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Finding the Fourth Proportional to 195,893, 270,332.34 and 106,469

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Solution

The fourth proportional to 195,893, 270,332.34 and 106,469 is: 146,927.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,893 : 270,332.34 = 106,469 : x
  2. Step 2: Convert to fraction form
    195,893/270,332.34 = 106,469/x
  3. Step 3: Cross multiply
    195,893x = 270,332.34 × 106,469
  4. Step 4: Simplify right side
    195,893x = 28,782,013,907.46
  5. Step 5: Solve for x
    x = 28,782,013,907.46/195,893
  6. Step 6: Final answer
    x = 146,927.22

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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.