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Finding the Fourth Proportional to 211,937.97, 317,907.11 and 54,166.57

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Solution

The fourth proportional to 211,937.97, 317,907.11 and 54,166.57 is: 81,249.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,937.97 : 317,907.11 = 54,166.57 : x
  2. Step 2: Convert to fraction form
    211,937.97/317,907.11 = 54,166.57/x
  3. Step 3: Cross multiply
    211,937.97x = 317,907.11 × 54,166.57
  4. Step 4: Simplify right side
    211,937.97x = 17,219,937,727.31
  5. Step 5: Solve for x
    x = 17,219,937,727.31/211,937.97
  6. Step 6: Final answer
    x = 81,249.89

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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.