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Finding the Fourth Proportional to 102,761.10, 154,139.49 and 47,357.10

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Solution

The fourth proportional to 102,761.10, 154,139.49 and 47,357.10 is: 71,034.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,761.10 : 154,139.49 = 47,357.10 : x
  2. Step 2: Convert to fraction form
    102,761.10/154,139.49 = 47,357.10/x
  3. Step 3: Cross multiply
    102,761.10x = 154,139.49 × 47,357.10
  4. Step 4: Simplify right side
    102,761.10x = 7,299,599,241.88
  5. Step 5: Solve for x
    x = 7,299,599,241.88/102,761.10
  6. Step 6: Final answer
    x = 71,034.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.