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Finding the Fourth Proportional to 305,520.92, 458,172.03 and 105,787.70

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Solution

The fourth proportional to 305,520.92, 458,172.03 and 105,787.70 is: 158,643.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,520.92 : 458,172.03 = 105,787.70 : x
  2. Step 2: Convert to fraction form
    305,520.92/458,172.03 = 105,787.70/x
  3. Step 3: Cross multiply
    305,520.92x = 458,172.03 × 105,787.70
  4. Step 4: Simplify right side
    305,520.92x = 48,468,965,258.03
  5. Step 5: Solve for x
    x = 48,468,965,258.03/305,520.92
  6. Step 6: Final answer
    x = 158,643.69

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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.