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Finding the Fourth Proportional to 120,907.10, 181,231.05 and 45,998.30

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Solution

The fourth proportional to 120,907.10, 181,231.05 and 45,998.30 is: 68,948.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,907.10 : 181,231.05 = 45,998.30 : x
  2. Step 2: Convert to fraction form
    120,907.10/181,231.05 = 45,998.30/x
  3. Step 3: Cross multiply
    120,907.10x = 181,231.05 × 45,998.30
  4. Step 4: Simplify right side
    120,907.10x = 8,336,320,207.22
  5. Step 5: Solve for x
    x = 8,336,320,207.22/120,907.10
  6. Step 6: Final answer
    x = 68,948.14

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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.