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Finding the Fourth Proportional to 275,722.80, 413,584.20 and 157,406.10

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Solution

The fourth proportional to 275,722.80, 413,584.20 and 157,406.10 is: 236,109.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,722.80 : 413,584.20 = 157,406.10 : x
  2. Step 2: Convert to fraction form
    275,722.80/413,584.20 = 157,406.10/x
  3. Step 3: Cross multiply
    275,722.80x = 413,584.20 × 157,406.10
  4. Step 4: Simplify right side
    275,722.80x = 65,100,675,943.62
  5. Step 5: Solve for x
    x = 65,100,675,943.62/275,722.80
  6. Step 6: Final answer
    x = 236,109.15

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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.