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Finding the Fourth Proportional to 185,162, 277,756 and 74,354

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Solution

The fourth proportional to 185,162, 277,756 and 74,354 is: 111,536.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,162 : 277,756 = 74,354 : x
  2. Step 2: Convert to fraction form
    185,162/277,756 = 74,354/x
  3. Step 3: Cross multiply
    185,162x = 277,756 × 74,354
  4. Step 4: Simplify right side
    185,162x = 20,652,269,624
  5. Step 5: Solve for x
    x = 20,652,269,624/185,162
  6. Step 6: Final answer
    x = 111,536.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.