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Finding the Fourth Proportional to 209,757.40, 289,572.51 and 142,131.76

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Solution

The fourth proportional to 209,757.40, 289,572.51 and 142,131.76 is: 196,214.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,757.40 : 289,572.51 = 142,131.76 : x
  2. Step 2: Convert to fraction form
    209,757.40/289,572.51 = 142,131.76/x
  3. Step 3: Cross multiply
    209,757.40x = 289,572.51 × 142,131.76
  4. Step 4: Simplify right side
    209,757.40x = 41,157,450,493.92
  5. Step 5: Solve for x
    x = 41,157,450,493.92/209,757.40
  6. Step 6: Final answer
    x = 196,214.53

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