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Finding the Fourth Proportional to 209,195.10, 288,690.99 and 113,701.77

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Solution

The fourth proportional to 209,195.10, 288,690.99 and 113,701.77 is: 156,909.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,195.10 : 288,690.99 = 113,701.77 : x
  2. Step 2: Convert to fraction form
    209,195.10/288,690.99 = 113,701.77/x
  3. Step 3: Cross multiply
    209,195.10x = 288,690.99 × 113,701.77
  4. Step 4: Simplify right side
    209,195.10x = 32,824,676,546.05
  5. Step 5: Solve for x
    x = 32,824,676,546.05/209,195.10
  6. Step 6: Final answer
    x = 156,909.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.