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Finding the Fourth Proportional to 214,849.89, 296,493.21 and 119,356.65

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Solution

The fourth proportional to 214,849.89, 296,493.21 and 119,356.65 is: 164,712.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,849.89 : 296,493.21 = 119,356.65 : x
  2. Step 2: Convert to fraction form
    214,849.89/296,493.21 = 119,356.65/x
  3. Step 3: Cross multiply
    214,849.89x = 296,493.21 × 119,356.65
  4. Step 4: Simplify right side
    214,849.89x = 35,388,436,293.35
  5. Step 5: Solve for x
    x = 35,388,436,293.35/214,849.89
  6. Step 6: Final answer
    x = 164,712.38

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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.