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Finding the Fourth Proportional to 275,924.56, 413,963.16 and 109,829.20

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Solution

The fourth proportional to 275,924.56, 413,963.16 and 109,829.20 is: 164,774.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,924.56 : 413,963.16 = 109,829.20 : x
  2. Step 2: Convert to fraction form
    275,924.56/413,963.16 = 109,829.20/x
  3. Step 3: Cross multiply
    275,924.56x = 413,963.16 × 109,829.20
  4. Step 4: Simplify right side
    275,924.56x = 45,465,242,692.27
  5. Step 5: Solve for x
    x = 45,465,242,692.27/275,924.56
  6. Step 6: Final answer
    x = 164,774.18

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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.