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Finding the Fourth Proportional to 133,764.80, 200,647.20 and 119,249.60

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Solution

The fourth proportional to 133,764.80, 200,647.20 and 119,249.60 is: 178,874.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,764.80 : 200,647.20 = 119,249.60 : x
  2. Step 2: Convert to fraction form
    133,764.80/200,647.20 = 119,249.60/x
  3. Step 3: Cross multiply
    133,764.80x = 200,647.20 × 119,249.60
  4. Step 4: Simplify right side
    133,764.80x = 23,927,098,341.12
  5. Step 5: Solve for x
    x = 23,927,098,341.12/133,764.80
  6. Step 6: Final answer
    x = 178,874.40

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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.