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Finding the Fourth Proportional to 184,992.65, 277,457.67 and 51,842.26

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Solution

The fourth proportional to 184,992.65, 277,457.67 and 51,842.26 is: 77,754.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,992.65 : 277,457.67 = 51,842.26 : x
  2. Step 2: Convert to fraction form
    184,992.65/277,457.67 = 51,842.26/x
  3. Step 3: Cross multiply
    184,992.65x = 277,457.67 × 51,842.26
  4. Step 4: Simplify right side
    184,992.65x = 14,384,031,843.88
  5. Step 5: Solve for x
    x = 14,384,031,843.88/184,992.65
  6. Step 6: Final answer
    x = 77,754.61

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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.