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Finding the Fourth Proportional to 146,286.64, 219,309 and 67,334.32

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Solution

The fourth proportional to 146,286.64, 219,309 and 67,334.32 is: 100,945.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,286.64 : 219,309 = 67,334.32 : x
  2. Step 2: Convert to fraction form
    146,286.64/219,309 = 67,334.32/x
  3. Step 3: Cross multiply
    146,286.64x = 219,309 × 67,334.32
  4. Step 4: Simplify right side
    146,286.64x = 14,767,022,384.88
  5. Step 5: Solve for x
    x = 14,767,022,384.88/146,286.64
  6. Step 6: Final answer
    x = 100,945.80

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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.