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Finding the Fourth Proportional to 227,676.81, 314,194.43 and 125,702.47

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Solution

The fourth proportional to 227,676.81, 314,194.43 and 125,702.47 is: 173,469.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,676.81 : 314,194.43 = 125,702.47 : x
  2. Step 2: Convert to fraction form
    227,676.81/314,194.43 = 125,702.47/x
  3. Step 3: Cross multiply
    227,676.81x = 314,194.43 × 125,702.47
  4. Step 4: Simplify right side
    227,676.81x = 39,495,015,440.01
  5. Step 5: Solve for x
    x = 39,495,015,440.01/227,676.81
  6. Step 6: Final answer
    x = 173,469.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.