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Finding the Fourth Proportional to 206,974.53, 310,202.07 and 88,506.56

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Solution

The fourth proportional to 206,974.53, 310,202.07 and 88,506.56 is: 132,648.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,974.53 : 310,202.07 = 88,506.56 : x
  2. Step 2: Convert to fraction form
    206,974.53/310,202.07 = 88,506.56/x
  3. Step 3: Cross multiply
    206,974.53x = 310,202.07 × 88,506.56
  4. Step 4: Simplify right side
    206,974.53x = 27,454,916,569.57
  5. Step 5: Solve for x
    x = 27,454,916,569.57/206,974.53
  6. Step 6: Final answer
    x = 132,648.77

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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.