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Finding the Fourth Proportional to 264,605.34, 365,158.49 and 143,748.54

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Solution

The fourth proportional to 264,605.34, 365,158.49 and 143,748.54 is: 198,374.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,605.34 : 365,158.49 = 143,748.54 : x
  2. Step 2: Convert to fraction form
    264,605.34/365,158.49 = 143,748.54/x
  3. Step 3: Cross multiply
    264,605.34x = 365,158.49 × 143,748.54
  4. Step 4: Simplify right side
    264,605.34x = 52,490,999,806.10
  5. Step 5: Solve for x
    x = 52,490,999,806.10/264,605.34
  6. Step 6: Final answer
    x = 198,374.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.