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Finding the Fourth Proportional to 242,732.94, 364,086.32 and 74,253.30

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Solution

The fourth proportional to 242,732.94, 364,086.32 and 74,253.30 is: 111,375.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,732.94 : 364,086.32 = 74,253.30 : x
  2. Step 2: Convert to fraction form
    242,732.94/364,086.32 = 74,253.30/x
  3. Step 3: Cross multiply
    242,732.94x = 364,086.32 × 74,253.30
  4. Step 4: Simplify right side
    242,732.94x = 27,034,610,744.86
  5. Step 5: Solve for x
    x = 27,034,610,744.86/242,732.94
  6. Step 6: Final answer
    x = 111,375.95

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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.