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Finding the Fourth Proportional to 184,969.71, 277,454.57 and 78,370.47

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Solution

The fourth proportional to 184,969.71, 277,454.57 and 78,370.47 is: 117,555.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,969.71 : 277,454.57 = 78,370.47 : x
  2. Step 2: Convert to fraction form
    184,969.71/277,454.57 = 78,370.47/x
  3. Step 3: Cross multiply
    184,969.71x = 277,454.57 × 78,370.47
  4. Step 4: Simplify right side
    184,969.71x = 21,744,244,662.70
  5. Step 5: Solve for x
    x = 21,744,244,662.70/184,969.71
  6. Step 6: Final answer
    x = 117,555.71

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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.