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Finding the Fourth Proportional to 224,506.82, 309,822.27 and 132,629.11

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Solution

The fourth proportional to 224,506.82, 309,822.27 and 132,629.11 is: 183,029.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,506.82 : 309,822.27 = 132,629.11 : x
  2. Step 2: Convert to fraction form
    224,506.82/309,822.27 = 132,629.11/x
  3. Step 3: Cross multiply
    224,506.82x = 309,822.27 × 132,629.11
  4. Step 4: Simplify right side
    224,506.82x = 41,091,451,928.28
  5. Step 5: Solve for x
    x = 41,091,451,928.28/224,506.82
  6. Step 6: Final answer
    x = 183,029.86

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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.