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Finding the Fourth Proportional to 322,787.25, 484,258.64 and 101,171.25

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Solution

The fourth proportional to 322,787.25, 484,258.64 and 101,171.25 is: 151,781.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,787.25 : 484,258.64 = 101,171.25 : x
  2. Step 2: Convert to fraction form
    322,787.25/484,258.64 = 101,171.25/x
  3. Step 3: Cross multiply
    322,787.25x = 484,258.64 × 101,171.25
  4. Step 4: Simplify right side
    322,787.25x = 48,993,051,426.24
  5. Step 5: Solve for x
    x = 48,993,051,426.24/322,787.25
  6. Step 6: Final answer
    x = 151,781.25

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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.