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Finding the Fourth Proportional to 184,894.48, 277,377.68 and 71,034.00

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Solution

The fourth proportional to 184,894.48, 277,377.68 and 71,034.00 is: 106,564.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,894.48 : 277,377.68 = 71,034.00 : x
  2. Step 2: Convert to fraction form
    184,894.48/277,377.68 = 71,034.00/x
  3. Step 3: Cross multiply
    184,894.48x = 277,377.68 × 71,034.00
  4. Step 4: Simplify right side
    184,894.48x = 19,703,245,258.54
  5. Step 5: Solve for x
    x = 19,703,245,258.54/184,894.48
  6. Step 6: Final answer
    x = 106,564.81

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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.