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Finding the Fourth Proportional to 305,855.28, 458,787.53 and 106,182.01

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Solution

The fourth proportional to 305,855.28, 458,787.53 and 106,182.01 is: 159,274.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,855.28 : 458,787.53 = 106,182.01 : x
  2. Step 2: Convert to fraction form
    305,855.28/458,787.53 = 106,182.01/x
  3. Step 3: Cross multiply
    305,855.28x = 458,787.53 × 106,182.01
  4. Step 4: Simplify right side
    305,855.28x = 48,714,982,441.42
  5. Step 5: Solve for x
    x = 48,714,982,441.42/305,855.28
  6. Step 6: Final answer
    x = 159,274.62

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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.