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Finding the Fourth Proportional to 264,850, 365,493 and 145,618

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Solution

The fourth proportional to 264,850, 365,493 and 145,618 is: 200,952.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,850 : 365,493 = 145,618 : x
  2. Step 2: Convert to fraction form
    264,850/365,493 = 145,618/x
  3. Step 3: Cross multiply
    264,850x = 365,493 × 145,618
  4. Step 4: Simplify right side
    264,850x = 53,222,359,674
  5. Step 5: Solve for x
    x = 53,222,359,674/264,850
  6. Step 6: Final answer
    x = 200,952.84

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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.