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Finding the Fourth Proportional to 199,909.80, 299,755.35 and 81,447.30

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Solution

The fourth proportional to 199,909.80, 299,755.35 and 81,447.30 is: 122,126.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,909.80 : 299,755.35 = 81,447.30 : x
  2. Step 2: Convert to fraction form
    199,909.80/299,755.35 = 81,447.30/x
  3. Step 3: Cross multiply
    199,909.80x = 299,755.35 × 81,447.30
  4. Step 4: Simplify right side
    199,909.80x = 24,414,263,918.06
  5. Step 5: Solve for x
    x = 24,414,263,918.06/199,909.80
  6. Step 6: Final answer
    x = 122,126.40

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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.