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Finding the Fourth Proportional to 264,602, 365,173.80 and 145,393.04

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Solution

The fourth proportional to 264,602, 365,173.80 and 145,393.04 is: 200,655.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,602 : 365,173.80 = 145,393.04 : x
  2. Step 2: Convert to fraction form
    264,602/365,173.80 = 145,393.04/x
  3. Step 3: Cross multiply
    264,602x = 365,173.80 × 145,393.04
  4. Step 4: Simplify right side
    264,602x = 53,093,728,910.35
  5. Step 5: Solve for x
    x = 53,093,728,910.35/264,602
  6. Step 6: Final answer
    x = 200,655.06

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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.