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Finding the Fourth Proportional to 205,034.20, 307,551.30 and 57,290.20

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Solution

The fourth proportional to 205,034.20, 307,551.30 and 57,290.20 is: 85,935.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,034.20 : 307,551.30 = 57,290.20 : x
  2. Step 2: Convert to fraction form
    205,034.20/307,551.30 = 57,290.20/x
  3. Step 3: Cross multiply
    205,034.20x = 307,551.30 × 57,290.20
  4. Step 4: Simplify right side
    205,034.20x = 17,619,675,487.26
  5. Step 5: Solve for x
    x = 17,619,675,487.26/205,034.20
  6. Step 6: Final answer
    x = 85,935.30

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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.