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Finding the Fourth Proportional to 211,294.92, 291,589.56 and 115,799.58

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Solution

The fourth proportional to 211,294.92, 291,589.56 and 115,799.58 is: 159,804.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,294.92 : 291,589.56 = 115,799.58 : x
  2. Step 2: Convert to fraction form
    211,294.92/291,589.56 = 115,799.58/x
  3. Step 3: Cross multiply
    211,294.92x = 291,589.56 × 115,799.58
  4. Step 4: Simplify right side
    211,294.92x = 33,765,948,580.38
  5. Step 5: Solve for x
    x = 33,765,948,580.38/211,294.92
  6. Step 6: Final answer
    x = 159,804.83

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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.