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Finding the Fourth Proportional to 103,673, 143,086.02 and 78,478.76

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Solution

The fourth proportional to 103,673, 143,086.02 and 78,478.76 is: 108,313.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,673 : 143,086.02 = 78,478.76 : x
  2. Step 2: Convert to fraction form
    103,673/143,086.02 = 78,478.76/x
  3. Step 3: Cross multiply
    103,673x = 143,086.02 × 78,478.76
  4. Step 4: Simplify right side
    103,673x = 11,229,213,422.94
  5. Step 5: Solve for x
    x = 11,229,213,422.94/103,673
  6. Step 6: Final answer
    x = 108,313.77

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