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Finding the Fourth Proportional to 211,534, 317,269.83 and 69,394.27

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Solution

The fourth proportional to 211,534, 317,269.83 and 69,394.27 is: 104,081.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,534 : 317,269.83 = 69,394.27 : x
  2. Step 2: Convert to fraction form
    211,534/317,269.83 = 69,394.27/x
  3. Step 3: Cross multiply
    211,534x = 317,269.83 × 69,394.27
  4. Step 4: Simplify right side
    211,534x = 22,016,708,245.87
  5. Step 5: Solve for x
    x = 22,016,708,245.87/211,534
  6. Step 6: Final answer
    x = 104,081.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.