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Finding the Fourth Proportional to 266,865.64, 400,297.38 and 107,013.04

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Solution

The fourth proportional to 266,865.64, 400,297.38 and 107,013.04 is: 160,519.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,865.64 : 400,297.38 = 107,013.04 : x
  2. Step 2: Convert to fraction form
    266,865.64/400,297.38 = 107,013.04/x
  3. Step 3: Cross multiply
    266,865.64x = 400,297.38 × 107,013.04
  4. Step 4: Simplify right side
    266,865.64x = 42,837,039,537.84
  5. Step 5: Solve for x
    x = 42,837,039,537.84/266,865.64
  6. Step 6: Final answer
    x = 160,519.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.