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Finding the Fourth Proportional to 276,504.50, 414,756.75 and 158,092.80

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Solution

The fourth proportional to 276,504.50, 414,756.75 and 158,092.80 is: 237,139.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,504.50 : 414,756.75 = 158,092.80 : x
  2. Step 2: Convert to fraction form
    276,504.50/414,756.75 = 158,092.80/x
  3. Step 3: Cross multiply
    276,504.50x = 414,756.75 × 158,092.80
  4. Step 4: Simplify right side
    276,504.50x = 65,570,058,463.42
  5. Step 5: Solve for x
    x = 65,570,058,463.42/276,504.50
  6. Step 6: Final answer
    x = 237,139.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.