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Finding the Fourth Proportional to 270,600.42, 405,939.51 and 83,626.50

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Solution

The fourth proportional to 270,600.42, 405,939.51 and 83,626.50 is: 125,451.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,600.42 : 405,939.51 = 83,626.50 : x
  2. Step 2: Convert to fraction form
    270,600.42/405,939.51 = 83,626.50/x
  3. Step 3: Cross multiply
    270,600.42x = 405,939.51 × 83,626.50
  4. Step 4: Simplify right side
    270,600.42x = 33,947,300,433.02
  5. Step 5: Solve for x
    x = 33,947,300,433.02/270,600.42
  6. Step 6: Final answer
    x = 125,451.77

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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.