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Finding the Fourth Proportional to 264,859.50, 365,506.18 and 145,627.50

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Solution

The fourth proportional to 264,859.50, 365,506.18 and 145,627.50 is: 200,965.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,859.50 : 365,506.18 = 145,627.50 : x
  2. Step 2: Convert to fraction form
    264,859.50/365,506.18 = 145,627.50/x
  3. Step 3: Cross multiply
    264,859.50x = 365,506.18 × 145,627.50
  4. Step 4: Simplify right side
    264,859.50x = 53,227,751,227.95
  5. Step 5: Solve for x
    x = 53,227,751,227.95/264,859.50
  6. Step 6: Final answer
    x = 200,965.99

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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.