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Finding the Fourth Proportional to 264,884, 365,539.92 and 145,652

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Solution

The fourth proportional to 264,884, 365,539.92 and 145,652 is: 200,999.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,884 : 365,539.92 = 145,652 : x
  2. Step 2: Convert to fraction form
    264,884/365,539.92 = 145,652/x
  3. Step 3: Cross multiply
    264,884x = 365,539.92 × 145,652
  4. Step 4: Simplify right side
    264,884x = 53,241,620,427.84
  5. Step 5: Solve for x
    x = 53,241,620,427.84/264,884
  6. Step 6: Final answer
    x = 200,999.76

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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.