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Finding the Fourth Proportional to 266,781.84, 400,285.08 and 116,944.80

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Solution

The fourth proportional to 266,781.84, 400,285.08 and 116,944.80 is: 175,466.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,781.84 : 400,285.08 = 116,944.80 : x
  2. Step 2: Convert to fraction form
    266,781.84/400,285.08 = 116,944.80/x
  3. Step 3: Cross multiply
    266,781.84x = 400,285.08 × 116,944.80
  4. Step 4: Simplify right side
    266,781.84x = 46,811,258,623.58
  5. Step 5: Solve for x
    x = 46,811,258,623.58/266,781.84
  6. Step 6: Final answer
    x = 175,466.44

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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.