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Finding the Fourth Proportional to 211,013.57, 291,198.74 and 115,520.27

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Solution

The fourth proportional to 211,013.57, 291,198.74 and 115,520.27 is: 159,417.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,013.57 : 291,198.74 = 115,520.27 : x
  2. Step 2: Convert to fraction form
    211,013.57/291,198.74 = 115,520.27/x
  3. Step 3: Cross multiply
    211,013.57x = 291,198.74 × 115,520.27
  4. Step 4: Simplify right side
    211,013.57x = 33,639,355,034.86
  5. Step 5: Solve for x
    x = 33,639,355,034.86/211,013.57
  6. Step 6: Final answer
    x = 159,417.97

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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.