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Finding the Fourth Proportional to 267,102.34, 368,601.26 and 146,243.64

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Solution

The fourth proportional to 267,102.34, 368,601.26 and 146,243.64 is: 201,816.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,102.34 : 368,601.26 = 146,243.64 : x
  2. Step 2: Convert to fraction form
    267,102.34/368,601.26 = 146,243.64/x
  3. Step 3: Cross multiply
    267,102.34x = 368,601.26 × 146,243.64
  4. Step 4: Simplify right side
    267,102.34x = 53,905,589,970.99
  5. Step 5: Solve for x
    x = 53,905,589,970.99/267,102.34
  6. Step 6: Final answer
    x = 201,816.24

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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.