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Finding the Fourth Proportional to 267,207.54, 368,746.56 and 146,356.44

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Solution

The fourth proportional to 267,207.54, 368,746.56 and 146,356.44 is: 201,971.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,207.54 : 368,746.56 = 146,356.44 : x
  2. Step 2: Convert to fraction form
    267,207.54/368,746.56 = 146,356.44/x
  3. Step 3: Cross multiply
    267,207.54x = 368,746.56 × 146,356.44
  4. Step 4: Simplify right side
    267,207.54x = 53,968,433,783.85
  5. Step 5: Solve for x
    x = 53,968,433,783.85/267,207.54
  6. Step 6: Final answer
    x = 201,971.97

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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.