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Finding the Fourth Proportional to 200,299.26, 276,412.95 and 109,654.94

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Solution

The fourth proportional to 200,299.26, 276,412.95 and 109,654.94 is: 151,323.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,299.26 : 276,412.95 = 109,654.94 : x
  2. Step 2: Convert to fraction form
    200,299.26/276,412.95 = 109,654.94/x
  3. Step 3: Cross multiply
    200,299.26x = 276,412.95 × 109,654.94
  4. Step 4: Simplify right side
    200,299.26x = 30,310,044,065.41
  5. Step 5: Solve for x
    x = 30,310,044,065.41/200,299.26
  6. Step 6: Final answer
    x = 151,323.79

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1.5x scale

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.