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Finding the Fourth Proportional to 275,405.96, 380,029.38 and 154,522.10

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Solution

The fourth proportional to 275,405.96, 380,029.38 and 154,522.10 is: 213,223.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,405.96 : 380,029.38 = 154,522.10 : x
  2. Step 2: Convert to fraction form
    275,405.96/380,029.38 = 154,522.10/x
  3. Step 3: Cross multiply
    275,405.96x = 380,029.38 × 154,522.10
  4. Step 4: Simplify right side
    275,405.96x = 58,722,937,859.30
  5. Step 5: Solve for x
    x = 58,722,937,859.30/275,405.96
  6. Step 6: Final answer
    x = 213,223.19

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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.