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Finding the Fourth Proportional to 224,576.82, 309,968.13 and 148,109.73

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Solution

The fourth proportional to 224,576.82, 309,968.13 and 148,109.73 is: 204,425.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,576.82 : 309,968.13 = 148,109.73 : x
  2. Step 2: Convert to fraction form
    224,576.82/309,968.13 = 148,109.73/x
  3. Step 3: Cross multiply
    224,576.82x = 309,968.13 × 148,109.73
  4. Step 4: Simplify right side
    224,576.82x = 45,909,296,042.90
  5. Step 5: Solve for x
    x = 45,909,296,042.90/224,576.82
  6. Step 6: Final answer
    x = 204,425.80

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1.5x scale

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.