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Finding the Fourth Proportional to 199,930.56, 299,895.88 and 81,657.60

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Solution

The fourth proportional to 199,930.56, 299,895.88 and 81,657.60 is: 122,486.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,930.56 : 299,895.88 = 81,657.60 : x
  2. Step 2: Convert to fraction form
    199,930.56/299,895.88 = 81,657.60/x
  3. Step 3: Cross multiply
    199,930.56x = 299,895.88 × 81,657.60
  4. Step 4: Simplify right side
    199,930.56x = 24,488,777,810.69
  5. Step 5: Solve for x
    x = 24,488,777,810.69/199,930.56
  6. Step 6: Final answer
    x = 122,486.42

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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.