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Finding the Fourth Proportional to 133,057.90, 199,586.85 and 109,438.30

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Solution

The fourth proportional to 133,057.90, 199,586.85 and 109,438.30 is: 164,157.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,057.90 : 199,586.85 = 109,438.30 : x
  2. Step 2: Convert to fraction form
    133,057.90/199,586.85 = 109,438.30/x
  3. Step 3: Cross multiply
    133,057.90x = 199,586.85 × 109,438.30
  4. Step 4: Simplify right side
    133,057.90x = 21,842,445,566.36
  5. Step 5: Solve for x
    x = 21,842,445,566.36/133,057.90
  6. Step 6: Final answer
    x = 164,157.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.