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Finding the Fourth Proportional to 211,182.33, 291,438.87 and 115,689

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Solution

The fourth proportional to 211,182.33, 291,438.87 and 115,689 is: 159,654.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,182.33 : 291,438.87 = 115,689 : x
  2. Step 2: Convert to fraction form
    211,182.33/291,438.87 = 115,689/x
  3. Step 3: Cross multiply
    211,182.33x = 291,438.87 × 115,689
  4. Step 4: Simplify right side
    211,182.33x = 33,716,271,431.43
  5. Step 5: Solve for x
    x = 33,716,271,431.43/211,182.33
  6. Step 6: Final answer
    x = 159,654.79

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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.