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Finding the Fourth Proportional to 242,674.68, 364,012.98 and 74,194.27

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Solution

The fourth proportional to 242,674.68, 364,012.98 and 74,194.27 is: 111,291.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,674.68 : 364,012.98 = 74,194.27 : x
  2. Step 2: Convert to fraction form
    242,674.68/364,012.98 = 74,194.27/x
  3. Step 3: Cross multiply
    242,674.68x = 364,012.98 × 74,194.27
  4. Step 4: Simplify right side
    242,674.68x = 27,007,677,321.62
  5. Step 5: Solve for x
    x = 27,007,677,321.62/242,674.68
  6. Step 6: Final answer
    x = 111,291.70

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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.