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Finding the Fourth Proportional to 214,154.33, 321,247.89 and 56,380.50

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Solution

The fourth proportional to 214,154.33, 321,247.89 and 56,380.50 is: 84,575.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,154.33 : 321,247.89 = 56,380.50 : x
  2. Step 2: Convert to fraction form
    214,154.33/321,247.89 = 56,380.50/x
  3. Step 3: Cross multiply
    214,154.33x = 321,247.89 × 56,380.50
  4. Step 4: Simplify right side
    214,154.33x = 18,112,116,662.15
  5. Step 5: Solve for x
    x = 18,112,116,662.15/214,154.33
  6. Step 6: Final answer
    x = 84,575.07

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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.