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Finding the Fourth Proportional to 215,304, 297,119.52 and 121,096

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Solution

The fourth proportional to 215,304, 297,119.52 and 121,096 is: 167,112.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,304 : 297,119.52 = 121,096 : x
  2. Step 2: Convert to fraction form
    215,304/297,119.52 = 121,096/x
  3. Step 3: Cross multiply
    215,304x = 297,119.52 × 121,096
  4. Step 4: Simplify right side
    215,304x = 35,979,985,393.92
  5. Step 5: Solve for x
    x = 35,979,985,393.92/215,304
  6. Step 6: Final answer
    x = 167,112.48

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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.