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Finding the Fourth Proportional to 214,384.40, 321,346.20 and 81,213.20

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Solution

The fourth proportional to 214,384.40, 321,346.20 and 81,213.20 is: 121,732.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,384.40 : 321,346.20 = 81,213.20 : x
  2. Step 2: Convert to fraction form
    214,384.40/321,346.20 = 81,213.20/x
  3. Step 3: Cross multiply
    214,384.40x = 321,346.20 × 81,213.20
  4. Step 4: Simplify right side
    214,384.40x = 26,097,553,209.84
  5. Step 5: Solve for x
    x = 26,097,553,209.84/214,384.40
  6. Step 6: Final answer
    x = 121,732.52

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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.