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Finding the Fourth Proportional to 119,245.92, 178,868.80 and 30,499.52

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Solution

The fourth proportional to 119,245.92, 178,868.80 and 30,499.52 is: 45,749.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,245.92 : 178,868.80 = 30,499.52 : x
  2. Step 2: Convert to fraction form
    119,245.92/178,868.80 = 30,499.52/x
  3. Step 3: Cross multiply
    119,245.92x = 178,868.80 × 30,499.52
  4. Step 4: Simplify right side
    119,245.92x = 5,455,412,542.98
  5. Step 5: Solve for x
    x = 5,455,412,542.98/119,245.92
  6. Step 6: Final answer
    x = 45,749.26

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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.