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Finding the Fourth Proportional to 159,082.20, 238,623.30 and 133,032.60

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Solution

The fourth proportional to 159,082.20, 238,623.30 and 133,032.60 is: 199,548.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,082.20 : 238,623.30 = 133,032.60 : x
  2. Step 2: Convert to fraction form
    159,082.20/238,623.30 = 133,032.60/x
  3. Step 3: Cross multiply
    159,082.20x = 238,623.30 × 133,032.60
  4. Step 4: Simplify right side
    159,082.20x = 31,744,678,019.58
  5. Step 5: Solve for x
    x = 31,744,678,019.58/159,082.20
  6. Step 6: Final answer
    x = 199,548.90

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Why These Related Problems?

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