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Finding the Fourth Proportional to 266,985.57, 400,755.14 and 178,854.94

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Solution

The fourth proportional to 266,985.57, 400,755.14 and 178,854.94 is: 268,467.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,985.57 : 400,755.14 = 178,854.94 : x
  2. Step 2: Convert to fraction form
    266,985.57/400,755.14 = 178,854.94/x
  3. Step 3: Cross multiply
    266,985.57x = 400,755.14 × 178,854.94
  4. Step 4: Simplify right side
    266,985.57x = 71,677,036,519.39
  5. Step 5: Solve for x
    x = 71,677,036,519.39/266,985.57
  6. Step 6: Final answer
    x = 268,467.83

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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.