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Finding the Fourth Proportional to 204,232.80, 306,579.60 and 121,173.60

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Solution

The fourth proportional to 204,232.80, 306,579.60 and 121,173.60 is: 181,897.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,232.80 : 306,579.60 = 121,173.60 : x
  2. Step 2: Convert to fraction form
    204,232.80/306,579.60 = 121,173.60/x
  3. Step 3: Cross multiply
    204,232.80x = 306,579.60 × 121,173.60
  4. Step 4: Simplify right side
    204,232.80x = 37,149,353,818.56
  5. Step 5: Solve for x
    x = 37,149,353,818.56/204,232.80
  6. Step 6: Final answer
    x = 181,897.10

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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.