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Finding the Fourth Proportional to 214,132.82, 295,369.49 and 137,751.38

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Solution

The fourth proportional to 214,132.82, 295,369.49 and 137,751.38 is: 190,010.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,132.82 : 295,369.49 = 137,751.38 : x
  2. Step 2: Convert to fraction form
    214,132.82/295,369.49 = 137,751.38/x
  3. Step 3: Cross multiply
    214,132.82x = 295,369.49 × 137,751.38
  4. Step 4: Simplify right side
    214,132.82x = 40,687,553,724.93
  5. Step 5: Solve for x
    x = 40,687,553,724.93/214,132.82
  6. Step 6: Final answer
    x = 190,010.82

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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.