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Finding the Fourth Proportional to 204,839, 307,258.68 and 57,095

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Solution

The fourth proportional to 204,839, 307,258.68 and 57,095 is: 85,642.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,839 : 307,258.68 = 57,095 : x
  2. Step 2: Convert to fraction form
    204,839/307,258.68 = 57,095/x
  3. Step 3: Cross multiply
    204,839x = 307,258.68 × 57,095
  4. Step 4: Simplify right side
    204,839x = 17,542,934,334.60
  5. Step 5: Solve for x
    x = 17,542,934,334.60/204,839
  6. Step 6: Final answer
    x = 85,642.55

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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.