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Finding the Fourth Proportional to 209,175.92, 288,664.68 and 113,682.86

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Solution

The fourth proportional to 209,175.92, 288,664.68 and 113,682.86 is: 156,883.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,175.92 : 288,664.68 = 113,682.86 : x
  2. Step 2: Convert to fraction form
    209,175.92/288,664.68 = 113,682.86/x
  3. Step 3: Cross multiply
    209,175.92x = 288,664.68 × 113,682.86
  4. Step 4: Simplify right side
    209,175.92x = 32,816,226,403.38
  5. Step 5: Solve for x
    x = 32,816,226,403.38/209,175.92
  6. Step 6: Final answer
    x = 156,883.39

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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.