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Finding the Fourth Proportional to 273,832.14, 409,990.77 and 140,424.78

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Solution

The fourth proportional to 273,832.14, 409,990.77 and 140,424.78 is: 210,248.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,832.14 : 409,990.77 = 140,424.78 : x
  2. Step 2: Convert to fraction form
    273,832.14/409,990.77 = 140,424.78/x
  3. Step 3: Cross multiply
    273,832.14x = 409,990.77 × 140,424.78
  4. Step 4: Simplify right side
    273,832.14x = 57,572,863,679.28
  5. Step 5: Solve for x
    x = 57,572,863,679.28/273,832.14
  6. Step 6: Final answer
    x = 210,248.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.