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Finding the Fourth Proportional to 106,738.56, 147,302.40 and 58,997.76

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Solution

The fourth proportional to 106,738.56, 147,302.40 and 58,997.76 is: 81,418.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,738.56 : 147,302.40 = 58,997.76 : x
  2. Step 2: Convert to fraction form
    106,738.56/147,302.40 = 58,997.76/x
  3. Step 3: Cross multiply
    106,738.56x = 147,302.40 × 58,997.76
  4. Step 4: Simplify right side
    106,738.56x = 8,690,511,642.62
  5. Step 5: Solve for x
    x = 8,690,511,642.62/106,738.56
  6. Step 6: Final answer
    x = 81,418.67

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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.