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Finding the Fourth Proportional to 189,396.38, 261,400.80 and 112,920.42

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Solution

The fourth proportional to 189,396.38, 261,400.80 and 112,920.42 is: 155,850.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,396.38 : 261,400.80 = 112,920.42 : x
  2. Step 2: Convert to fraction form
    189,396.38/261,400.80 = 112,920.42/x
  3. Step 3: Cross multiply
    189,396.38x = 261,400.80 × 112,920.42
  4. Step 4: Simplify right side
    189,396.38x = 29,517,488,124.34
  5. Step 5: Solve for x
    x = 29,517,488,124.34/189,396.38
  6. Step 6: Final answer
    x = 155,850.33

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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.