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Finding the Fourth Proportional to 206,974.02, 310,201.33 and 88,506.06

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Solution

The fourth proportional to 206,974.02, 310,201.33 and 88,506.06 is: 132,648.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,974.02 : 310,201.33 = 88,506.06 : x
  2. Step 2: Convert to fraction form
    206,974.02/310,201.33 = 88,506.06/x
  3. Step 3: Cross multiply
    206,974.02x = 310,201.33 × 88,506.06
  4. Step 4: Simplify right side
    206,974.02x = 27,454,697,525.06
  5. Step 5: Solve for x
    x = 27,454,697,525.06/206,974.02
  6. Step 6: Final answer
    x = 132,648.04

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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.