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Finding the Fourth Proportional to 267,541.92, 401,351.76 and 142,814.88

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Solution

The fourth proportional to 267,541.92, 401,351.76 and 142,814.88 is: 214,243.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,541.92 : 401,351.76 = 142,814.88 : x
  2. Step 2: Convert to fraction form
    267,541.92/401,351.76 = 142,814.88/x
  3. Step 3: Cross multiply
    267,541.92x = 401,351.76 × 142,814.88
  4. Step 4: Simplify right side
    267,541.92x = 57,319,003,442.19
  5. Step 5: Solve for x
    x = 57,319,003,442.19/267,541.92
  6. Step 6: Final answer
    x = 214,243.07

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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.