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Finding the Fourth Proportional to 184,684.52, 277,025.52 and 51,564.80

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Solution

The fourth proportional to 184,684.52, 277,025.52 and 51,564.80 is: 77,346.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,684.52 : 277,025.52 = 51,564.80 : x
  2. Step 2: Convert to fraction form
    184,684.52/277,025.52 = 51,564.80/x
  3. Step 3: Cross multiply
    184,684.52x = 277,025.52 × 51,564.80
  4. Step 4: Simplify right side
    184,684.52x = 14,284,765,533.70
  5. Step 5: Solve for x
    x = 14,284,765,533.70/184,684.52
  6. Step 6: Final answer
    x = 77,346.85

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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.