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Finding the Fourth Proportional to 185,286.26, 277,945.80 and 52,167.68

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Solution

The fourth proportional to 185,286.26, 277,945.80 and 52,167.68 is: 78,256.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,286.26 : 277,945.80 = 52,167.68 : x
  2. Step 2: Convert to fraction form
    185,286.26/277,945.80 = 52,167.68/x
  3. Step 3: Cross multiply
    185,286.26x = 277,945.80 × 52,167.68
  4. Step 4: Simplify right side
    185,286.26x = 14,499,787,551.74
  5. Step 5: Solve for x
    x = 14,499,787,551.74/185,286.26
  6. Step 6: Final answer
    x = 78,256.14

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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.