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Finding the Fourth Proportional to 217,076.84, 325,815.16 and 110,536.96

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Solution

The fourth proportional to 217,076.84, 325,815.16 and 110,536.96 is: 165,907.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,076.84 : 325,815.16 = 110,536.96 : x
  2. Step 2: Convert to fraction form
    217,076.84/325,815.16 = 110,536.96/x
  3. Step 3: Cross multiply
    217,076.84x = 325,815.16 × 110,536.96
  4. Step 4: Simplify right side
    217,076.84x = 36,014,617,264.68
  5. Step 5: Solve for x
    x = 36,014,617,264.68/217,076.84
  6. Step 6: Final answer
    x = 165,907.23

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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.