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Finding the Fourth Proportional to 176,118.37, 263,961.02 and 81,216.80

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Solution

The fourth proportional to 176,118.37, 263,961.02 and 81,216.80 is: 121,725.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,118.37 : 263,961.02 = 81,216.80 : x
  2. Step 2: Convert to fraction form
    176,118.37/263,961.02 = 81,216.80/x
  3. Step 3: Cross multiply
    176,118.37x = 263,961.02 × 81,216.80
  4. Step 4: Simplify right side
    176,118.37x = 21,438,069,369.14
  5. Step 5: Solve for x
    x = 21,438,069,369.14/176,118.37
  6. Step 6: Final answer
    x = 121,725.35

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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.