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Finding the Fourth Proportional to 200,494.60, 276,674.10 and 119,874.49

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Solution

The fourth proportional to 200,494.60, 276,674.10 and 119,874.49 is: 165,421.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,494.60 : 276,674.10 = 119,874.49 : x
  2. Step 2: Convert to fraction form
    200,494.60/276,674.10 = 119,874.49/x
  3. Step 3: Cross multiply
    200,494.60x = 276,674.10 × 119,874.49
  4. Step 4: Simplify right side
    200,494.60x = 33,166,165,492.49
  5. Step 5: Solve for x
    x = 33,166,165,492.49/200,494.60
  6. Step 6: Final answer
    x = 165,421.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.