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Finding the Fourth Proportional to 297,082.89, 445,668.48 and 107,557.47

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Solution

The fourth proportional to 297,082.89, 445,668.48 and 107,557.47 is: 161,352.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,082.89 : 445,668.48 = 107,557.47 : x
  2. Step 2: Convert to fraction form
    297,082.89/445,668.48 = 107,557.47/x
  3. Step 3: Cross multiply
    297,082.89x = 445,668.48 × 107,557.47
  4. Step 4: Simplify right side
    297,082.89x = 47,934,974,167.55
  5. Step 5: Solve for x
    x = 47,934,974,167.55/297,082.89
  6. Step 6: Final answer
    x = 161,352.19

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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.