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Finding the Fourth Proportional to 176,525.34, 264,785.71 and 43,406.75

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Solution

The fourth proportional to 176,525.34, 264,785.71 and 43,406.75 is: 65,109.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,525.34 : 264,785.71 = 43,406.75 : x
  2. Step 2: Convert to fraction form
    176,525.34/264,785.71 = 43,406.75/x
  3. Step 3: Cross multiply
    176,525.34x = 264,785.71 × 43,406.75
  4. Step 4: Simplify right side
    176,525.34x = 11,493,488,310.91
  5. Step 5: Solve for x
    x = 11,493,488,310.91/176,525.34
  6. Step 6: Final answer
    x = 65,109.56

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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.