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Finding the Fourth Proportional to 204,504.11, 306,829.98 and 71,403.98

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Solution

The fourth proportional to 204,504.11, 306,829.98 and 71,403.98 is: 107,131.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,504.11 : 306,829.98 = 71,403.98 : x
  2. Step 2: Convert to fraction form
    204,504.11/306,829.98 = 71,403.98/x
  3. Step 3: Cross multiply
    204,504.11x = 306,829.98 × 71,403.98
  4. Step 4: Simplify right side
    204,504.11x = 21,908,880,221.17
  5. Step 5: Solve for x
    x = 21,908,880,221.17/204,504.11
  6. Step 6: Final answer
    x = 107,131.74

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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.