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Finding the Fourth Proportional to 214,186.70, 321,295.80 and 56,414

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Solution

The fourth proportional to 214,186.70, 321,295.80 and 56,414 is: 84,625.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,186.70 : 321,295.80 = 56,414 : x
  2. Step 2: Convert to fraction form
    214,186.70/321,295.80 = 56,414/x
  3. Step 3: Cross multiply
    214,186.70x = 321,295.80 × 56,414
  4. Step 4: Simplify right side
    214,186.70x = 18,125,581,261.20
  5. Step 5: Solve for x
    x = 18,125,581,261.20/214,186.70
  6. Step 6: Final answer
    x = 84,625.15

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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.