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Finding the Fourth Proportional to 103,959.22, 143,463.83 and 56,212.56

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Solution

The fourth proportional to 103,959.22, 143,463.83 and 56,212.56 is: 77,573.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,959.22 : 143,463.83 = 56,212.56 : x
  2. Step 2: Convert to fraction form
    103,959.22/143,463.83 = 56,212.56/x
  3. Step 3: Cross multiply
    103,959.22x = 143,463.83 × 56,212.56
  4. Step 4: Simplify right side
    103,959.22x = 8,064,469,151.70
  5. Step 5: Solve for x
    x = 8,064,469,151.70/103,959.22
  6. Step 6: Final answer
    x = 77,573.39

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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.