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Finding the Fourth Proportional to 216,022.90, 323,937.15 and 82,858.90

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Solution

The fourth proportional to 216,022.90, 323,937.15 and 82,858.90 is: 124,251.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,022.90 : 323,937.15 = 82,858.90 : x
  2. Step 2: Convert to fraction form
    216,022.90/323,937.15 = 82,858.90/x
  3. Step 3: Cross multiply
    216,022.90x = 323,937.15 × 82,858.90
  4. Step 4: Simplify right side
    216,022.90x = 26,841,075,918.14
  5. Step 5: Solve for x
    x = 26,841,075,918.14/216,022.90
  6. Step 6: Final answer
    x = 124,251.07

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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.