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Finding the Fourth Proportional to 211,046.14, 291,228.51 and 115,537.42

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Solution

The fourth proportional to 211,046.14, 291,228.51 and 115,537.42 is: 159,433.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,046.14 : 291,228.51 = 115,537.42 : x
  2. Step 2: Convert to fraction form
    211,046.14/291,228.51 = 115,537.42/x
  3. Step 3: Cross multiply
    211,046.14x = 291,228.51 × 115,537.42
  4. Step 4: Simplify right side
    211,046.14x = 33,647,790,675.84
  5. Step 5: Solve for x
    x = 33,647,790,675.84/211,046.14
  6. Step 6: Final answer
    x = 159,433.34

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