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Finding the Fourth Proportional to 92,203.53, 127,234.31 and 51,919.53

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Solution

The fourth proportional to 92,203.53, 127,234.31 and 51,919.53 is: 71,645.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,203.53 : 127,234.31 = 51,919.53 : x
  2. Step 2: Convert to fraction form
    92,203.53/127,234.31 = 51,919.53/x
  3. Step 3: Cross multiply
    92,203.53x = 127,234.31 × 51,919.53
  4. Step 4: Simplify right side
    92,203.53x = 6,605,945,315.48
  5. Step 5: Solve for x
    x = 6,605,945,315.48/92,203.53
  6. Step 6: Final answer
    x = 71,645.25

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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.