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Finding the Fourth Proportional to 122,786.76, 184,250.75 and 51,703.79

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Solution

The fourth proportional to 122,786.76, 184,250.75 and 51,703.79 is: 77,585.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,786.76 : 184,250.75 = 51,703.79 : x
  2. Step 2: Convert to fraction form
    122,786.76/184,250.75 = 51,703.79/x
  3. Step 3: Cross multiply
    122,786.76x = 184,250.75 × 51,703.79
  4. Step 4: Simplify right side
    122,786.76x = 9,526,462,287.45
  5. Step 5: Solve for x
    x = 9,526,462,287.45/122,786.76
  6. Step 6: Final answer
    x = 77,585.42

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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.