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Finding the Fourth Proportional to 215,763.49, 297,747.41 and 120,268.13

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Solution

The fourth proportional to 215,763.49, 297,747.41 and 120,268.13 is: 165,966.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,763.49 : 297,747.41 = 120,268.13 : x
  2. Step 2: Convert to fraction form
    215,763.49/297,747.41 = 120,268.13/x
  3. Step 3: Cross multiply
    215,763.49x = 297,747.41 × 120,268.13
  4. Step 4: Simplify right side
    215,763.49x = 35,809,525,258.08
  5. Step 5: Solve for x
    x = 35,809,525,258.08/215,763.49
  6. Step 6: Final answer
    x = 165,966.57

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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.