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Finding the Fourth Proportional to 211,493.07, 291,930.22 and 189,072.90

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Solution

The fourth proportional to 211,493.07, 291,930.22 and 189,072.90 is: 260,982.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,493.07 : 291,930.22 = 189,072.90 : x
  2. Step 2: Convert to fraction form
    211,493.07/291,930.22 = 189,072.90/x
  3. Step 3: Cross multiply
    211,493.07x = 291,930.22 × 189,072.90
  4. Step 4: Simplify right side
    211,493.07x = 55,196,093,529.38
  5. Step 5: Solve for x
    x = 55,196,093,529.38/211,493.07
  6. Step 6: Final answer
    x = 260,982.99

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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.