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Finding the Fourth Proportional to 103,951.44, 143,453.07 and 56,204.82

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Solution

The fourth proportional to 103,951.44, 143,453.07 and 56,204.82 is: 77,562.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,951.44 : 143,453.07 = 56,204.82 : x
  2. Step 2: Convert to fraction form
    103,951.44/143,453.07 = 56,204.82/x
  3. Step 3: Cross multiply
    103,951.44x = 143,453.07 × 56,204.82
  4. Step 4: Simplify right side
    103,951.44x = 8,062,753,977.80
  5. Step 5: Solve for x
    x = 8,062,753,977.80/103,951.44
  6. Step 6: Final answer
    x = 77,562.70

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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.