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Finding the Fourth Proportional to 204,561.59, 306,739.76 and 119,200.09

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Solution

The fourth proportional to 204,561.59, 306,739.76 and 119,200.09 is: 178,740.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,561.59 : 306,739.76 = 119,200.09 : x
  2. Step 2: Convert to fraction form
    204,561.59/306,739.76 = 119,200.09/x
  3. Step 3: Cross multiply
    204,561.59x = 306,739.76 × 119,200.09
  4. Step 4: Simplify right side
    204,561.59x = 36,563,406,881.37
  5. Step 5: Solve for x
    x = 36,563,406,881.37/204,561.59
  6. Step 6: Final answer
    x = 178,740.34

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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.