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Finding the Fourth Proportional to 266,704.91, 400,097.15 and 98,212.29

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Solution

The fourth proportional to 266,704.91, 400,097.15 and 98,212.29 is: 147,333.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,704.91 : 400,097.15 = 98,212.29 : x
  2. Step 2: Convert to fraction form
    266,704.91/400,097.15 = 98,212.29/x
  3. Step 3: Cross multiply
    266,704.91x = 400,097.15 × 98,212.29
  4. Step 4: Simplify right side
    266,704.91x = 39,294,457,323.97
  5. Step 5: Solve for x
    x = 39,294,457,323.97/266,704.91
  6. Step 6: Final answer
    x = 147,333.09

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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.