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Finding the Fourth Proportional to 200,350, 276,491.64 and 110,926

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Solution

The fourth proportional to 200,350, 276,491.64 and 110,926 is: 153,082.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,350 : 276,491.64 = 110,926 : x
  2. Step 2: Convert to fraction form
    200,350/276,491.64 = 110,926/x
  3. Step 3: Cross multiply
    200,350x = 276,491.64 × 110,926
  4. Step 4: Simplify right side
    200,350x = 30,670,111,658.64
  5. Step 5: Solve for x
    x = 30,670,111,658.64/200,350
  6. Step 6: Final answer
    x = 153,082.66

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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.