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Finding the Fourth Proportional to 266,703.16, 400,142.34 and 109,064.20

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Solution

The fourth proportional to 266,703.16, 400,142.34 and 109,064.20 is: 163,632.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,703.16 : 400,142.34 = 109,064.20 : x
  2. Step 2: Convert to fraction form
    266,703.16/400,142.34 = 109,064.20/x
  3. Step 3: Cross multiply
    266,703.16x = 400,142.34 × 109,064.20
  4. Step 4: Simplify right side
    266,703.16x = 43,641,204,198.23
  5. Step 5: Solve for x
    x = 43,641,204,198.23/266,703.16
  6. Step 6: Final answer
    x = 163,632.12

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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.