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Finding the Fourth Proportional to 200,372.66, 276,514.40 and 108,491.66

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Solution

The fourth proportional to 200,372.66, 276,514.40 and 108,491.66 is: 149,718.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,372.66 : 276,514.40 = 108,491.66 : x
  2. Step 2: Convert to fraction form
    200,372.66/276,514.40 = 108,491.66/x
  3. Step 3: Cross multiply
    200,372.66x = 276,514.40 × 108,491.66
  4. Step 4: Simplify right side
    200,372.66x = 29,999,506,269.90
  5. Step 5: Solve for x
    x = 29,999,506,269.90/200,372.66
  6. Step 6: Final answer
    x = 149,718.56

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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.