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Finding the Fourth Proportional to 260,892.19, 391,413 and 127,811.42

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Solution

The fourth proportional to 260,892.19, 391,413 and 127,811.42 is: 191,753.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,892.19 : 391,413 = 127,811.42 : x
  2. Step 2: Convert to fraction form
    260,892.19/391,413 = 127,811.42/x
  3. Step 3: Cross multiply
    260,892.19x = 391,413 × 127,811.42
  4. Step 4: Simplify right side
    260,892.19x = 50,027,049,379.40
  5. Step 5: Solve for x
    x = 50,027,049,379.40/260,892.19
  6. Step 6: Final answer
    x = 191,753.73

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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.