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Finding the Fourth Proportional to 204,411, 282,091.50 and 114,987

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Solution

The fourth proportional to 204,411, 282,091.50 and 114,987 is: 158,684.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,411 : 282,091.50 = 114,987 : x
  2. Step 2: Convert to fraction form
    204,411/282,091.50 = 114,987/x
  3. Step 3: Cross multiply
    204,411x = 282,091.50 × 114,987
  4. Step 4: Simplify right side
    204,411x = 32,436,855,310.50
  5. Step 5: Solve for x
    x = 32,436,855,310.50/204,411
  6. Step 6: Final answer
    x = 158,684.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.