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Finding the Fourth Proportional to 184,594.89, 276,708.39 and 78,005.69

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Solution

The fourth proportional to 184,594.89, 276,708.39 and 78,005.69 is: 116,930.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,594.89 : 276,708.39 = 78,005.69 : x
  2. Step 2: Convert to fraction form
    184,594.89/276,708.39 = 78,005.69/x
  3. Step 3: Cross multiply
    184,594.89x = 276,708.39 × 78,005.69
  4. Step 4: Simplify right side
    184,594.89x = 21,584,828,890.74
  5. Step 5: Solve for x
    x = 21,584,828,890.74/184,594.89
  6. Step 6: Final answer
    x = 116,930.80

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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.