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Finding the Fourth Proportional to 200,508, 276,701.10 and 119,938.92

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Solution

The fourth proportional to 200,508, 276,701.10 and 119,938.92 is: 165,515.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,508 : 276,701.10 = 119,938.92 : x
  2. Step 2: Convert to fraction form
    200,508/276,701.10 = 119,938.92/x
  3. Step 3: Cross multiply
    200,508x = 276,701.10 × 119,938.92
  4. Step 4: Simplify right side
    200,508x = 33,187,231,096.81
  5. Step 5: Solve for x
    x = 33,187,231,096.81/200,508
  6. Step 6: Final answer
    x = 165,515.75

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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.