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Finding the Fourth Proportional to 266,805.24, 400,261.42 and 98,326.44

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Solution

The fourth proportional to 266,805.24, 400,261.42 and 98,326.44 is: 147,509.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,805.24 : 400,261.42 = 98,326.44 : x
  2. Step 2: Convert to fraction form
    266,805.24/400,261.42 = 98,326.44/x
  3. Step 3: Cross multiply
    266,805.24x = 400,261.42 × 98,326.44
  4. Step 4: Simplify right side
    266,805.24x = 39,356,280,497.94
  5. Step 5: Solve for x
    x = 39,356,280,497.94/266,805.24
  6. Step 6: Final answer
    x = 147,509.40

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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.