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Finding the Fourth Proportional to 264,765, 365,375.70 and 145,533

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Solution

The fourth proportional to 264,765, 365,375.70 and 145,533 is: 200,835.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,765 : 365,375.70 = 145,533 : x
  2. Step 2: Convert to fraction form
    264,765/365,375.70 = 145,533/x
  3. Step 3: Cross multiply
    264,765x = 365,375.70 × 145,533
  4. Step 4: Simplify right side
    264,765x = 53,174,221,748.10
  5. Step 5: Solve for x
    x = 53,174,221,748.10/264,765
  6. Step 6: Final answer
    x = 200,835.54

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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.