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Finding the Fourth Proportional to 442,082.43, 663,130.94 and 161,597.25

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Solution

The fourth proportional to 442,082.43, 663,130.94 and 161,597.25 is: 242,398.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,082.43 : 663,130.94 = 161,597.25 : x
  2. Step 2: Convert to fraction form
    442,082.43/663,130.94 = 161,597.25/x
  3. Step 3: Cross multiply
    442,082.43x = 663,130.94 × 161,597.25
  4. Step 4: Simplify right side
    442,082.43x = 107,160,135,485.93
  5. Step 5: Solve for x
    x = 107,160,135,485.93/442,082.43
  6. Step 6: Final answer
    x = 242,398.54

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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.