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Finding the Fourth Proportional to 204,609.71, 306,630.09 and 177,900.98

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Solution

The fourth proportional to 204,609.71, 306,630.09 and 177,900.98 is: 266,604.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,609.71 : 306,630.09 = 177,900.98 : x
  2. Step 2: Convert to fraction form
    204,609.71/306,630.09 = 177,900.98/x
  3. Step 3: Cross multiply
    204,609.71x = 306,630.09 × 177,900.98
  4. Step 4: Simplify right side
    204,609.71x = 54,549,791,975.34
  5. Step 5: Solve for x
    x = 54,549,791,975.34/204,609.71
  6. Step 6: Final answer
    x = 266,604.12

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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.