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Finding the Fourth Proportional to 179,164.93, 268,786.27 and 54,502.69

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Solution

The fourth proportional to 179,164.93, 268,786.27 and 54,502.69 is: 81,765.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,164.93 : 268,786.27 = 54,502.69 : x
  2. Step 2: Convert to fraction form
    179,164.93/268,786.27 = 54,502.69/x
  3. Step 3: Cross multiply
    179,164.93x = 268,786.27 × 54,502.69
  4. Step 4: Simplify right side
    179,164.93x = 14,649,574,750.07
  5. Step 5: Solve for x
    x = 14,649,574,750.07/179,164.93
  6. Step 6: Final answer
    x = 81,765.86

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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.