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Finding the Fourth Proportional to 214,807.76, 322,227.21 and 65,059.73

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Solution

The fourth proportional to 214,807.76, 322,227.21 and 65,059.73 is: 97,594.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,807.76 : 322,227.21 = 65,059.73 : x
  2. Step 2: Convert to fraction form
    214,807.76/322,227.21 = 65,059.73/x
  3. Step 3: Cross multiply
    214,807.76x = 322,227.21 × 65,059.73
  4. Step 4: Simplify right side
    214,807.76x = 20,964,016,028.71
  5. Step 5: Solve for x
    x = 20,964,016,028.71/214,807.76
  6. Step 6: Final answer
    x = 97,594.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.