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Finding the Fourth Proportional to 200,561.38, 276,774.75 and 109,920.94

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Solution

The fourth proportional to 200,561.38, 276,774.75 and 109,920.94 is: 151,690.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,561.38 : 276,774.75 = 109,920.94 : x
  2. Step 2: Convert to fraction form
    200,561.38/276,774.75 = 109,920.94/x
  3. Step 3: Cross multiply
    200,561.38x = 276,774.75 × 109,920.94
  4. Step 4: Simplify right side
    200,561.38x = 30,423,340,688.27
  5. Step 5: Solve for x
    x = 30,423,340,688.27/200,561.38
  6. Step 6: Final answer
    x = 151,690.92

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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.