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Finding the Fourth Proportional to 214,138.32, 321,194.52 and 56,363.28

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Solution

The fourth proportional to 214,138.32, 321,194.52 and 56,363.28 is: 84,541.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,138.32 : 321,194.52 = 56,363.28 : x
  2. Step 2: Convert to fraction form
    214,138.32/321,194.52 = 56,363.28/x
  3. Step 3: Cross multiply
    214,138.32x = 321,194.52 × 56,363.28
  4. Step 4: Simplify right side
    214,138.32x = 18,103,576,665.23
  5. Step 5: Solve for x
    x = 18,103,576,665.23/214,138.32
  6. Step 6: Final answer
    x = 84,541.51

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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.