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Finding the Fourth Proportional to 215,877.36, 297,912 and 120,388.08

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Solution

The fourth proportional to 215,877.36, 297,912 and 120,388.08 is: 166,136.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,877.36 : 297,912 = 120,388.08 : x
  2. Step 2: Convert to fraction form
    215,877.36/297,912 = 120,388.08/x
  3. Step 3: Cross multiply
    215,877.36x = 297,912 × 120,388.08
  4. Step 4: Simplify right side
    215,877.36x = 35,865,053,688.96
  5. Step 5: Solve for x
    x = 35,865,053,688.96/215,877.36
  6. Step 6: Final answer
    x = 166,136.24

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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.