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Finding the Fourth Proportional to 176,536.28, 264,721.19 and 64,137.24

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Solution

The fourth proportional to 176,536.28, 264,721.19 and 64,137.24 is: 96,175.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,536.28 : 264,721.19 = 64,137.24 : x
  2. Step 2: Convert to fraction form
    176,536.28/264,721.19 = 64,137.24/x
  3. Step 3: Cross multiply
    176,536.28x = 264,721.19 × 64,137.24
  4. Step 4: Simplify right side
    176,536.28x = 16,978,486,175.43
  5. Step 5: Solve for x
    x = 16,978,486,175.43/176,536.28
  6. Step 6: Final answer
    x = 96,175.62

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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.