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Finding the Fourth Proportional to 305,915.64, 458,872.50 and 81,298.68

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Solution

The fourth proportional to 305,915.64, 458,872.50 and 81,298.68 is: 121,947.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,915.64 : 458,872.50 = 81,298.68 : x
  2. Step 2: Convert to fraction form
    305,915.64/458,872.50 = 81,298.68/x
  3. Step 3: Cross multiply
    305,915.64x = 458,872.50 × 81,298.68
  4. Step 4: Simplify right side
    305,915.64x = 37,305,728,538.30
  5. Step 5: Solve for x
    x = 37,305,728,538.30/305,915.64
  6. Step 6: Final answer
    x = 121,947.76

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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.