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Finding the Fourth Proportional to 212,997.38, 293,806.14 and 136,490.72

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Solution

The fourth proportional to 212,997.38, 293,806.14 and 136,490.72 is: 188,273.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,997.38 : 293,806.14 = 136,490.72 : x
  2. Step 2: Convert to fraction form
    212,997.38/293,806.14 = 136,490.72/x
  3. Step 3: Cross multiply
    212,997.38x = 293,806.14 × 136,490.72
  4. Step 4: Simplify right side
    212,997.38x = 40,101,811,589.02
  5. Step 5: Solve for x
    x = 40,101,811,589.02/212,997.38
  6. Step 6: Final answer
    x = 188,273.73

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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.