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Finding the Fourth Proportional to 103,761.28, 143,190.72 and 61,340.80

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Solution

The fourth proportional to 103,761.28, 143,190.72 and 61,340.80 is: 84,650.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,761.28 : 143,190.72 = 61,340.80 : x
  2. Step 2: Convert to fraction form
    103,761.28/143,190.72 = 61,340.80/x
  3. Step 3: Cross multiply
    103,761.28x = 143,190.72 × 61,340.80
  4. Step 4: Simplify right side
    103,761.28x = 8,783,433,317.38
  5. Step 5: Solve for x
    x = 8,783,433,317.38/103,761.28
  6. Step 6: Final answer
    x = 84,650.39

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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.