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Finding the Fourth Proportional to 120,793.82, 181,205.14 and 58,419.50

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Solution

The fourth proportional to 120,793.82, 181,205.14 and 58,419.50 is: 87,636.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,793.82 : 181,205.14 = 58,419.50 : x
  2. Step 2: Convert to fraction form
    120,793.82/181,205.14 = 58,419.50/x
  3. Step 3: Cross multiply
    120,793.82x = 181,205.14 × 58,419.50
  4. Step 4: Simplify right side
    120,793.82x = 10,585,913,676.23
  5. Step 5: Solve for x
    x = 10,585,913,676.23/120,793.82
  6. Step 6: Final answer
    x = 87,636.22

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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.