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Finding the Fourth Proportional to 214,385.40, 321,347.70 and 81,214.20

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Solution

The fourth proportional to 214,385.40, 321,347.70 and 81,214.20 is: 121,734.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,385.40 : 321,347.70 = 81,214.20 : x
  2. Step 2: Convert to fraction form
    214,385.40/321,347.70 = 81,214.20/x
  3. Step 3: Cross multiply
    214,385.40x = 321,347.70 × 81,214.20
  4. Step 4: Simplify right side
    214,385.40x = 26,097,996,377.34
  5. Step 5: Solve for x
    x = 26,097,996,377.34/214,385.40
  6. Step 6: Final answer
    x = 121,734.02

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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.