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Finding the Fourth Proportional to 159,082.40, 238,623.60 and 156,749.60

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Solution

The fourth proportional to 159,082.40, 238,623.60 and 156,749.60 is: 235,124.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,082.40 : 238,623.60 = 156,749.60 : x
  2. Step 2: Convert to fraction form
    159,082.40/238,623.60 = 156,749.60/x
  3. Step 3: Cross multiply
    159,082.40x = 238,623.60 × 156,749.60
  4. Step 4: Simplify right side
    159,082.40x = 37,404,153,850.56
  5. Step 5: Solve for x
    x = 37,404,153,850.56/159,082.40
  6. Step 6: Final answer
    x = 235,124.40

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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.