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Finding the Fourth Proportional to 176,651.80, 264,977.70 and 120,664.60

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Solution

The fourth proportional to 176,651.80, 264,977.70 and 120,664.60 is: 180,996.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,651.80 : 264,977.70 = 120,664.60 : x
  2. Step 2: Convert to fraction form
    176,651.80/264,977.70 = 120,664.60/x
  3. Step 3: Cross multiply
    176,651.80x = 264,977.70 × 120,664.60
  4. Step 4: Simplify right side
    176,651.80x = 31,973,428,179.42
  5. Step 5: Solve for x
    x = 31,973,428,179.42/176,651.80
  6. Step 6: Final answer
    x = 180,996.90

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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.