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Finding the Fourth Proportional to 213,906, 294,530.90 and 189,991.14

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Solution

The fourth proportional to 213,906, 294,530.90 and 189,991.14 is: 261,602.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,906 : 294,530.90 = 189,991.14 : x
  2. Step 2: Convert to fraction form
    213,906/294,530.90 = 189,991.14/x
  3. Step 3: Cross multiply
    213,906x = 294,530.90 × 189,991.14
  4. Step 4: Simplify right side
    213,906x = 55,958,261,456.23
  5. Step 5: Solve for x
    x = 55,958,261,456.23/213,906
  6. Step 6: Final answer
    x = 261,602.11

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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.