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Finding the Fourth Proportional to 264,969, 365,662.98 and 145,737

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Solution

The fourth proportional to 264,969, 365,662.98 and 145,737 is: 201,120.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,969 : 365,662.98 = 145,737 : x
  2. Step 2: Convert to fraction form
    264,969/365,662.98 = 145,737/x
  3. Step 3: Cross multiply
    264,969x = 365,662.98 × 145,737
  4. Step 4: Simplify right side
    264,969x = 53,290,625,716.26
  5. Step 5: Solve for x
    x = 53,290,625,716.26/264,969
  6. Step 6: Final answer
    x = 201,120.23

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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.