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Finding the Fourth Proportional to 195,744.50, 270,127.68 and 106,320.50

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Solution

The fourth proportional to 195,744.50, 270,127.68 and 106,320.50 is: 146,722.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,744.50 : 270,127.68 = 106,320.50 : x
  2. Step 2: Convert to fraction form
    195,744.50/270,127.68 = 106,320.50/x
  3. Step 3: Cross multiply
    195,744.50x = 270,127.68 × 106,320.50
  4. Step 4: Simplify right side
    195,744.50x = 28,720,110,001.44
  5. Step 5: Solve for x
    x = 28,720,110,001.44/195,744.50
  6. Step 6: Final answer
    x = 146,722.44

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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.