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Finding the Fourth Proportional to 270,610.62, 405,868.41 and 83,623.74

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Solution

The fourth proportional to 270,610.62, 405,868.41 and 83,623.74 is: 125,420.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,610.62 : 405,868.41 = 83,623.74 : x
  2. Step 2: Convert to fraction form
    270,610.62/405,868.41 = 83,623.74/x
  3. Step 3: Cross multiply
    270,610.62x = 405,868.41 × 83,623.74
  4. Step 4: Simplify right side
    270,610.62x = 33,940,234,392.05
  5. Step 5: Solve for x
    x = 33,940,234,392.05/270,610.62
  6. Step 6: Final answer
    x = 125,420.93

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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.