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Finding the Fourth Proportional to 188,037.36, 282,082.48 and 54,927.36

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Solution

The fourth proportional to 188,037.36, 282,082.48 and 54,927.36 is: 82,398.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,037.36 : 282,082.48 = 54,927.36 : x
  2. Step 2: Convert to fraction form
    188,037.36/282,082.48 = 54,927.36/x
  3. Step 3: Cross multiply
    188,037.36x = 282,082.48 × 54,927.36
  4. Step 4: Simplify right side
    188,037.36x = 15,494,045,928.65
  5. Step 5: Solve for x
    x = 15,494,045,928.65/188,037.36
  6. Step 6: Final answer
    x = 82,398.76

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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.