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Finding the Fourth Proportional to 176,461.26, 264,741.30 and 71,354.04

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Solution

The fourth proportional to 176,461.26, 264,741.30 and 71,354.04 is: 107,051.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,461.26 : 264,741.30 = 71,354.04 : x
  2. Step 2: Convert to fraction form
    176,461.26/264,741.30 = 71,354.04/x
  3. Step 3: Cross multiply
    176,461.26x = 264,741.30 × 71,354.04
  4. Step 4: Simplify right side
    176,461.26x = 18,890,361,309.85
  5. Step 5: Solve for x
    x = 18,890,361,309.85/176,461.26
  6. Step 6: Final answer
    x = 107,051.04

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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.