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Finding the Fourth Proportional to 238,153.44, 357,208.43 and 80,383.26

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Solution

The fourth proportional to 238,153.44, 357,208.43 and 80,383.26 is: 120,567.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,153.44 : 357,208.43 = 80,383.26 : x
  2. Step 2: Convert to fraction form
    238,153.44/357,208.43 = 80,383.26/x
  3. Step 3: Cross multiply
    238,153.44x = 357,208.43 × 80,383.26
  4. Step 4: Simplify right side
    238,153.44x = 28,713,577,700.97
  5. Step 5: Solve for x
    x = 28,713,577,700.97/238,153.44
  6. Step 6: Final answer
    x = 120,567.55

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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.