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Finding the Fourth Proportional to 209,688.96, 287,743.20 and 190,680.96

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Solution

The fourth proportional to 209,688.96, 287,743.20 and 190,680.96 is: 261,659.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,688.96 : 287,743.20 = 190,680.96 : x
  2. Step 2: Convert to fraction form
    209,688.96/287,743.20 = 190,680.96/x
  3. Step 3: Cross multiply
    209,688.96x = 287,743.20 × 190,680.96
  4. Step 4: Simplify right side
    209,688.96x = 54,867,149,609.47
  5. Step 5: Solve for x
    x = 54,867,149,609.47/209,688.96
  6. Step 6: Final answer
    x = 261,659.70

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.