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Finding the Fourth Proportional to 174,687.12, 261,811.44 and 74,729.84

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Solution

The fourth proportional to 174,687.12, 261,811.44 and 74,729.84 is: 112,000.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,687.12 : 261,811.44 = 74,729.84 : x
  2. Step 2: Convert to fraction form
    174,687.12/261,811.44 = 74,729.84/x
  3. Step 3: Cross multiply
    174,687.12x = 261,811.44 × 74,729.84
  4. Step 4: Simplify right side
    174,687.12x = 19,565,127,021.37
  5. Step 5: Solve for x
    x = 19,565,127,021.37/174,687.12
  6. Step 6: Final answer
    x = 112,000.97

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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.