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Finding the Fourth Proportional to 195,470.85, 269,871.03 and 150,061.98

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Solution

The fourth proportional to 195,470.85, 269,871.03 and 150,061.98 is: 207,178.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,470.85 : 269,871.03 = 150,061.98 : x
  2. Step 2: Convert to fraction form
    195,470.85/269,871.03 = 150,061.98/x
  3. Step 3: Cross multiply
    195,470.85x = 269,871.03 × 150,061.98
  4. Step 4: Simplify right side
    195,470.85x = 40,497,381,106.44
  5. Step 5: Solve for x
    x = 40,497,381,106.44/195,470.85
  6. Step 6: Final answer
    x = 207,178.62

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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.