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Finding the Fourth Proportional to 188,538.84, 260,235.23 and 111,082.59

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Solution

The fourth proportional to 188,538.84, 260,235.23 and 111,082.59 is: 153,324.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,538.84 : 260,235.23 = 111,082.59 : x
  2. Step 2: Convert to fraction form
    188,538.84/260,235.23 = 111,082.59/x
  3. Step 3: Cross multiply
    188,538.84x = 260,235.23 × 111,082.59
  4. Step 4: Simplify right side
    188,538.84x = 28,907,603,427.07
  5. Step 5: Solve for x
    x = 28,907,603,427.07/188,538.84
  6. Step 6: Final answer
    x = 153,324.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.