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Finding the Fourth Proportional to 176,524.82, 264,784.91 and 43,406.23

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Solution

The fourth proportional to 176,524.82, 264,784.91 and 43,406.23 is: 65,108.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,524.82 : 264,784.91 = 43,406.23 : x
  2. Step 2: Convert to fraction form
    176,524.82/264,784.91 = 43,406.23/x
  3. Step 3: Cross multiply
    176,524.82x = 264,784.91 × 43,406.23
  4. Step 4: Simplify right side
    176,524.82x = 11,493,313,380.06
  5. Step 5: Solve for x
    x = 11,493,313,380.06/176,524.82
  6. Step 6: Final answer
    x = 65,108.77

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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.