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Finding the Fourth Proportional to 267,383.90, 368,983.86 and 146,522.54

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Solution

The fourth proportional to 267,383.90, 368,983.86 and 146,522.54 is: 202,197.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,383.90 : 368,983.86 = 146,522.54 : x
  2. Step 2: Convert to fraction form
    267,383.90/368,983.86 = 146,522.54/x
  3. Step 3: Cross multiply
    267,383.90x = 368,983.86 × 146,522.54
  4. Step 4: Simplify right side
    267,383.90x = 54,064,452,386.20
  5. Step 5: Solve for x
    x = 54,064,452,386.20/267,383.90
  6. Step 6: Final answer
    x = 202,197.86

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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.