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Finding the Fourth Proportional to 176,735.80, 264,930.90 and 71,414.20

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Solution

The fourth proportional to 176,735.80, 264,930.90 and 71,414.20 is: 107,051.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,735.80 : 264,930.90 = 71,414.20 : x
  2. Step 2: Convert to fraction form
    176,735.80/264,930.90 = 71,414.20/x
  3. Step 3: Cross multiply
    176,735.80x = 264,930.90 × 71,414.20
  4. Step 4: Simplify right side
    176,735.80x = 18,919,828,278.78
  5. Step 5: Solve for x
    x = 18,919,828,278.78/176,735.80
  6. Step 6: Final answer
    x = 107,051.48

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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.