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Finding the Fourth Proportional to 176,536.91, 264,656.10 and 76,622

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Solution

The fourth proportional to 176,536.91, 264,656.10 and 76,622 is: 114,868.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,536.91 : 264,656.10 = 76,622 : x
  2. Step 2: Convert to fraction form
    176,536.91/264,656.10 = 76,622/x
  3. Step 3: Cross multiply
    176,536.91x = 264,656.10 × 76,622
  4. Step 4: Simplify right side
    176,536.91x = 20,278,479,694.20
  5. Step 5: Solve for x
    x = 20,278,479,694.20/176,536.91
  6. Step 6: Final answer
    x = 114,868.21

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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.