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Finding the Fourth Proportional to 215,728.96, 297,707.44 and 120,241.80

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Solution

The fourth proportional to 215,728.96, 297,707.44 and 120,241.80 is: 165,934.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,728.96 : 297,707.44 = 120,241.80 : x
  2. Step 2: Convert to fraction form
    215,728.96/297,707.44 = 120,241.80/x
  3. Step 3: Cross multiply
    215,728.96x = 297,707.44 × 120,241.80
  4. Step 4: Simplify right side
    215,728.96x = 35,796,878,458.99
  5. Step 5: Solve for x
    x = 35,796,878,458.99/215,728.96
  6. Step 6: Final answer
    x = 165,934.51

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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.