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Finding the Fourth Proportional to 178,324.18, 267,424.23 and 71,676.47

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Solution

The fourth proportional to 178,324.18, 267,424.23 and 71,676.47 is: 107,489.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,324.18 : 267,424.23 = 71,676.47 : x
  2. Step 2: Convert to fraction form
    178,324.18/267,424.23 = 71,676.47/x
  3. Step 3: Cross multiply
    178,324.18x = 267,424.23 × 71,676.47
  4. Step 4: Simplify right side
    178,324.18x = 19,168,024,798.87
  5. Step 5: Solve for x
    x = 19,168,024,798.87/178,324.18
  6. Step 6: Final answer
    x = 107,489.77

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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.