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Finding the Fourth Proportional to 223,571.20, 335,241.60 and 83,257.60

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Solution

The fourth proportional to 223,571.20, 335,241.60 and 83,257.60 is: 124,843.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,571.20 : 335,241.60 = 83,257.60 : x
  2. Step 2: Convert to fraction form
    223,571.20/335,241.60 = 83,257.60/x
  3. Step 3: Cross multiply
    223,571.20x = 335,241.60 × 83,257.60
  4. Step 4: Simplify right side
    223,571.20x = 27,911,411,036.16
  5. Step 5: Solve for x
    x = 27,911,411,036.16/223,571.20
  6. Step 6: Final answer
    x = 124,843.50

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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.