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Finding the Fourth Proportional to 178,663.14, 267,994.44 and 139,249.80

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Solution

The fourth proportional to 178,663.14, 267,994.44 and 139,249.80 is: 208,874.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,663.14 : 267,994.44 = 139,249.80 : x
  2. Step 2: Convert to fraction form
    178,663.14/267,994.44 = 139,249.80/x
  3. Step 3: Cross multiply
    178,663.14x = 267,994.44 × 139,249.80
  4. Step 4: Simplify right side
    178,663.14x = 37,318,172,171.11
  5. Step 5: Solve for x
    x = 37,318,172,171.11/178,663.14
  6. Step 6: Final answer
    x = 208,874.49

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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.