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Finding the Fourth Proportional to 273,257.13, 409,854.92 and 73,592.13

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Solution

The fourth proportional to 273,257.13, 409,854.92 and 73,592.13 is: 110,379.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,257.13 : 409,854.92 = 73,592.13 : x
  2. Step 2: Convert to fraction form
    273,257.13/409,854.92 = 73,592.13/x
  3. Step 3: Cross multiply
    273,257.13x = 409,854.92 × 73,592.13
  4. Step 4: Simplify right side
    273,257.13x = 30,162,096,185.82
  5. Step 5: Solve for x
    x = 30,162,096,185.82/273,257.13
  6. Step 6: Final answer
    x = 110,379.91

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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.