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Finding the Fourth Proportional to 176,651.81, 264,877.37 and 120,559.88

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Solution

The fourth proportional to 176,651.81, 264,877.37 and 120,559.88 is: 180,771.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,651.81 : 264,877.37 = 120,559.88 : x
  2. Step 2: Convert to fraction form
    176,651.81/264,877.37 = 120,559.88/x
  3. Step 3: Cross multiply
    176,651.81x = 264,877.37 × 120,559.88
  4. Step 4: Simplify right side
    176,651.81x = 31,933,584,001.31
  5. Step 5: Solve for x
    x = 31,933,584,001.31/176,651.81
  6. Step 6: Final answer
    x = 180,771.34

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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.