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Finding the Fourth Proportional to 215,872.31, 297,905.09 and 120,385.05

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Solution

The fourth proportional to 215,872.31, 297,905.09 and 120,385.05 is: 166,132.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,872.31 : 297,905.09 = 120,385.05 : x
  2. Step 2: Convert to fraction form
    215,872.31/297,905.09 = 120,385.05/x
  3. Step 3: Cross multiply
    215,872.31x = 297,905.09 × 120,385.05
  4. Step 4: Simplify right side
    215,872.31x = 35,863,319,154.90
  5. Step 5: Solve for x
    x = 35,863,319,154.90/215,872.31
  6. Step 6: Final answer
    x = 166,132.10

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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.