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Finding the Fourth Proportional to 273,162.16, 409,786.98 and 115,391.98

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Solution

The fourth proportional to 273,162.16, 409,786.98 and 115,391.98 is: 173,106.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,162.16 : 409,786.98 = 115,391.98 : x
  2. Step 2: Convert to fraction form
    273,162.16/409,786.98 = 115,391.98/x
  3. Step 3: Cross multiply
    273,162.16x = 409,786.98 × 115,391.98
  4. Step 4: Simplify right side
    273,162.16x = 47,286,131,000.42
  5. Step 5: Solve for x
    x = 47,286,131,000.42/273,162.16
  6. Step 6: Final answer
    x = 173,106.45

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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.