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Finding the Fourth Proportional to 204,869, 307,355.34 and 57,125

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Solution

The fourth proportional to 204,869, 307,355.34 and 57,125 is: 85,701.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,869 : 307,355.34 = 57,125 : x
  2. Step 2: Convert to fraction form
    204,869/307,355.34 = 57,125/x
  3. Step 3: Cross multiply
    204,869x = 307,355.34 × 57,125
  4. Step 4: Simplify right side
    204,869x = 17,557,673,797.50
  5. Step 5: Solve for x
    x = 17,557,673,797.50/204,869
  6. Step 6: Final answer
    x = 85,701.95

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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.