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Finding the Fourth Proportional to 109,452.65, 164,051.40 and 50,294.30

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Solution

The fourth proportional to 109,452.65, 164,051.40 and 50,294.30 is: 75,382.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,452.65 : 164,051.40 = 50,294.30 : x
  2. Step 2: Convert to fraction form
    109,452.65/164,051.40 = 50,294.30/x
  3. Step 3: Cross multiply
    109,452.65x = 164,051.40 × 50,294.30
  4. Step 4: Simplify right side
    109,452.65x = 8,250,850,327.02
  5. Step 5: Solve for x
    x = 8,250,850,327.02/109,452.65
  6. Step 6: Final answer
    x = 75,382.83

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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.